diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index e0a0a28..d0f39c3 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -13,8 +13,8 @@ catalogs:
       specifier: ^9.0.0
       version: 9.0.0
     '@antfu/eslint-config':
-      specifier: ^7.7.3
-      version: 7.7.3
+      specifier: ^8.2.0
+      version: 8.2.0
     '@octokit/plugin-rest-endpoint-methods':
       specifier: ^17.0.0
       version: 17.0.0
@@ -37,7 +37,7 @@ importers:
     devDependencies:
       '@antfu/eslint-config':
         specifier: 'catalog:'
-        version: 7.7.3(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.2.0)(typescript@5.9.3))(@vue/compiler-sfc@3.5.24)(eslint@10.2.0)(typescript@5.9.3)
+        version: 8.2.0(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.1(typescript@5.9.3))(@typescript-eslint/utils@8.58.1(eslint@10.2.0)(typescript@5.9.3))(@vue/compiler-sfc@3.5.24)(eslint@10.2.0)(typescript@5.9.3)
       '@typescript/native-preview':
         specifier: 'catalog:'
         version: 7.0.0-dev.20260406.1
@@ -100,14 +100,14 @@ packages:
   '@actions/io@3.0.2':
     resolution: {integrity: sha512-nRBchcMM+QK1pdjO7/idu86rbJI5YHUKCvKs0KxnSYbVe3F51UfGxuZX4Qy/fWlp6l7gWFwIkrOzN+oUK03kfw==}
 
-  '@antfu/eslint-config@7.7.3':
-    resolution: {integrity: sha512-BtroDxTvmWtvr3yJkdWVCvwsKlnEdkreoeOyrdNezc/W5qaiQNf2xjcsQ3N5Yy0x27h+0WFfW8rG8YlVioG6dw==}
+  '@antfu/eslint-config@8.2.0':
+    resolution: {integrity: sha512-spfwYXMNrlkl69riTSBnbC0C2K8EVfVMOK3ceP2EpAAioyfprIW1gTwyLRtd9jZSFeNdX4mFNAIG+o0sOneOfA==}
     hasBin: true
     peerDependencies:
       '@angular-eslint/eslint-plugin': ^21.1.0
       '@angular-eslint/eslint-plugin-template': ^21.1.0
       '@angular-eslint/template-parser': ^21.1.0
-      '@eslint-react/eslint-plugin': ^2.11.0
+      '@eslint-react/eslint-plugin': ^3.0.0
       '@next/eslint-plugin-next': '>=15.0.0'
       '@prettier/plugin-xml': ^3.4.1
       '@unocss/eslint-plugin': '>=0.50.0'
@@ -116,7 +116,6 @@ packages:
       eslint-plugin-astro: ^1.2.0
       eslint-plugin-format: '>=0.1.0'
       eslint-plugin-jsx-a11y: '>=6.10.2'
-      eslint-plugin-react-hooks: ^7.0.0
       eslint-plugin-react-refresh: ^0.5.0
       eslint-plugin-solid: ^0.14.3
       eslint-plugin-svelte: '>=2.35.1'
@@ -147,8 +146,6 @@ packages:
         optional: true
       eslint-plugin-jsx-a11y:
         optional: true
-      eslint-plugin-react-hooks:
-        optional: true
       eslint-plugin-react-refresh:
         optional: true
       eslint-plugin-solid:
@@ -205,17 +202,17 @@ packages:
     resolution: {integrity: sha512-mOm5ZrYmphGfqVWoH5YYMTITb3cDXsFgmvFlvkvWDMsR9X8RFnt7a0Wb6yNIdoFsiMO9WjYLq+U/FMtqIYAF8Q==}
     engines: {node: ^20.19.0 || >=22.12.0}
 
-  '@clack/core@1.1.0':
-    resolution: {integrity: sha512-SVcm4Dqm2ukn64/8Gub2wnlA5nS2iWJyCkdNHcvNHPIeBTGojpdJ+9cZKwLfmqy7irD4N5qLteSilJlE0WLAtA==}
+  '@clack/core@1.2.0':
+    resolution: {integrity: sha512-qfxof/3T3t9DPU/Rj3OmcFyZInceqj/NVtO9rwIuJqCUgh32gwPjpFQQp/ben07qKlhpwq7GzfWpST4qdJ5Drg==}
 
-  '@clack/prompts@1.1.0':
-    resolution: {integrity: sha512-pkqbPGtohJAvm4Dphs2M8xE29ggupihHdy1x84HNojZuMtFsHiUlRvqD24tM2+XmI+61LlfNceM3Wr7U5QES5g==}
+  '@clack/prompts@1.2.0':
+    resolution: {integrity: sha512-4jmztR9fMqPMjz6H/UZXj0zEmE43ha1euENwkckKKel4XpSfokExPo5AiVStdHSAlHekz4d0CA/r45Ok1E4D3w==}
 
-  '@e18e/eslint-plugin@0.2.0':
-    resolution: {integrity: sha512-mXgODVwhuDjTJ+UT+XSvmMmCidtGKfrV5nMIv1UtpWex2pYLsIM3RSpT8HWIMAebS9qANbXPKlSX4BE7ZvuCgA==}
+  '@e18e/eslint-plugin@0.3.0':
+    resolution: {integrity: sha512-hHgfpxsrZ2UYHcicA+tGZnmk19uJTaye9VH79O+XS8R4ona2Hx3xjhXghclNW58uXMk3xXlbYEOMr8thsoBmWg==}
     peerDependencies:
       eslint: ^9.0.0 || ^10.0.0
-      oxlint: ^1.41.0
+      oxlint: ^1.55.0
     peerDependenciesMeta:
       eslint:
         optional: true
@@ -235,6 +232,10 @@ packages:
     resolution: {integrity: sha512-0xew1CxOam0gV5OMjh2KjFQZsKL2bByX1+q4j3E73MpYIdyUxcZb/xQct9ccUb+ve5KGUYbCUxyPnYB7RbuP+w==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
+  '@es-joy/jsdoccomment@0.86.0':
+    resolution: {integrity: sha512-ukZmRQ81WiTpDWO6D/cTBM7XbrNtutHKvAVnZN/8pldAwLoJArGOvkNyxPTBGsPjsoaQBJxlH+tE2TNA/92Qgw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
+
   '@es-joy/resolve.exports@1.2.0':
     resolution: {integrity: sha512-Q9hjxWI5xBM+qW2enxfe8wDKdFWMfd0Z29k5ZJnuBqD/CasY5Zryj09aCA6owbGATWz+39p5uIdaHXpopOcG8g==}
     engines: {node: '>=10'}
@@ -255,8 +256,8 @@ packages:
     resolution: {integrity: sha512-EriSTlt5OC9/7SXkRSCAhfSxxoSUgBm33OH+IkwbdpgoqsSsUg7y3uh+IICI/Qg4BBWr3U2i39RpmycbxMq4ew==}
     engines: {node: ^12.0.0 || ^14.0.0 || >=16.0.0}
 
-  '@eslint/compat@2.0.2':
-    resolution: {integrity: sha512-pR1DoD0h3HfF675QZx0xsyrsU8q70Z/plx7880NOhS02NuWLgBCOMDL787nUeQ7EWLkxv3bPQJaarjcPQb2Dwg==}
+  '@eslint/compat@2.0.5':
+    resolution: {integrity: sha512-IbHDbHJfkVNv6xjlET8AIVo/K1NQt7YT4Rp6ok/clyBGcpRx1l6gv0Rq3vBvYfPJIZt6ODf66Zq08FJNDpnzgg==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: ^8.40 || 9 || 10
@@ -268,38 +269,26 @@ packages:
     resolution: {integrity: sha512-lf19F24LSMfF8weXvW5QEtnLqW70u7kgit5e9PSx0MsHAFclGd1T9ynvWEMDT1w5J4Qt54tomGeAhdoAku1Xow==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/config-helpers@0.5.3':
-    resolution: {integrity: sha512-lzGN0onllOZCGroKJmRwY6QcEHxbjBw1gwB8SgRSqK8YbbtEXMvKynsXc3553ckIEBxsbMBU7oOZXKIPGZNeZw==}
-    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
-
   '@eslint/config-helpers@0.5.4':
     resolution: {integrity: sha512-jJhqiY3wPMlWWO3370M86CPJ7pt8GmEwSLglMfQhjXal07RCvhmU0as4IuUEW5SJeunfItiEetHmSxCCe9lDBg==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/core@0.17.0':
-    resolution: {integrity: sha512-yL/sLrpmtDaFEiUj1osRP4TI2MDz1AddJL+jZ7KSqvBuliN4xqYY54IfdN8qD8Toa6g1iloph1fxQNkjOxrrpQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
-  '@eslint/core@1.1.1':
-    resolution: {integrity: sha512-QUPblTtE51/7/Zhfv8BDwO0qkkzQL7P/aWWbqcf4xWLEYn1oKjdO0gglQBB4GAsu7u6wjijbCmzsUTy6mnk6oQ==}
-    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
-
   '@eslint/core@1.2.0':
     resolution: {integrity: sha512-8FTGbNzTvmSlc4cZBaShkC6YvFMG0riksYWRFKXztqVdXaQbcZLXlFbSpC05s70sGEsXAw0qwhx69JiW7hQS7A==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/markdown@7.5.1':
-    resolution: {integrity: sha512-R8uZemG9dKTbru/DQRPblbJyXpObwKzo8rv1KYGGuPUPtjM4LXBYM9q5CIZAComzZupws3tWbDwam5AFpPLyJQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+  '@eslint/core@1.2.1':
+    resolution: {integrity: sha512-MwcE1P+AZ4C6DWlpin/OmOA54mmIZ/+xZuJiQd4SyB29oAJjN30UW9wkKNptW2ctp4cEsvhlLY/CsQ1uoHDloQ==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
+
+  '@eslint/markdown@8.0.1':
+    resolution: {integrity: sha512-WWKmld/EyNdEB8GMq7JMPX1SDWgyJAM1uhtCi5ySrqYQM4HQjmg11EX/q3ZpnpRXHfdccFtli3NBvvGaYjWyQw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
   '@eslint/object-schema@3.0.4':
     resolution: {integrity: sha512-55lO/7+Yp0ISKRP0PsPtNTeNGapXaO085aELZmWCVc5SH3jfrqpuU6YgOdIxMS99ZHkQN1cXKE+cdIqwww9ptw==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/plugin-kit@0.4.1':
-    resolution: {integrity: sha512-43/qtrDUokr7LJqoF2c3+RInu/t4zfrpYdoSDfYyhg52rwLV6TnOvdG4fXm7IkSB3wErkcmJS9iEhjVtOSEjjA==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
   '@eslint/plugin-kit@0.6.1':
     resolution: {integrity: sha512-iH1B076HoAshH1mLpHMgwdGeTs0CYwL0SPMkGuSebZrwBp16v415e9NZXg2jtrqPVQjf6IANe2Vtlr5KswtcZQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
@@ -516,12 +505,18 @@ packages:
   '@types/estree@1.0.8':
     resolution: {integrity: sha512-dWHzHa2WqEXI/O1E9OjrocMTKJl2mSrEolh1Iomrv6U+JuNwaHXsXx9bLu5gG7BUWFIN0skIQJQ/L1rIex4X6w==}
 
+  '@types/hast@3.0.4':
+    resolution: {integrity: sha512-WPs+bbQw5aCj+x6laNGWLH3wviHtoCv/P3+otBhbOhJgG8qtpdAMlTCxLtsTWA7LH1Oh/bFCHsBn0TPS5m30EQ==}
+
   '@types/jsesc@2.5.1':
     resolution: {integrity: sha512-9VN+6yxLOPLOav+7PwjZbxiID2bVaeq0ED4qSQmdQTdjnXJSaCVKTR58t15oqH1H5t8Ng2ZX1SabJVoN9Q34bw==}
 
   '@types/json-schema@7.0.15':
     resolution: {integrity: sha512-5+fP8P8MFNC+AyZCDxrB2pkZFPGzqQWUzpSeuuVLvm8VMcorNYavBqoFcxK8bQz4Qsbn4oUEEem4wDLfcysGHA==}
 
+  '@types/katex@0.16.8':
+    resolution: {integrity: sha512-trgaNyfU+Xh2Tc+ABIb44a5AYUpicB3uwirOioeOkNPPbmgRNtcWyDeeFRzjPZENO9Vq8gvVqfhaaXWLlevVwg==}
+
   '@types/mdast@4.0.4':
     resolution: {integrity: sha512-kGaNbPh1k7AFzgpud/gMdvIm5xuECykRR+JnWKQno9TAXVa6WIVCGTPvYGekIDL4uwCZQSYbUxNBSb1aUo79oA==}
 
@@ -534,13 +529,13 @@ packages:
   '@types/unist@3.0.3':
     resolution: {integrity: sha512-ko/gIFJRv177XgZsZcBwnqJN5x/Gien8qNOn0D5bQU/zAzVf9Zt3BlcUiLqhV9y4ARk0GbT3tnUiPNgnTXzc/Q==}
 
-  '@typescript-eslint/eslint-plugin@8.57.0':
-    resolution: {integrity: sha512-qeu4rTHR3/IaFORbD16gmjq9+rEs9fGKdX0kF6BKSfi+gCuG3RCKLlSBYzn/bGsY9Tj7KE/DAQStbp8AHJGHEQ==}
+  '@typescript-eslint/eslint-plugin@8.58.1':
+    resolution: {integrity: sha512-eSkwoemjo76bdXl2MYqtxg51HNwUSkWfODUOQ3PaTLZGh9uIWWFZIjyjaJnex7wXDu+TRx+ATsnSxdN9YWfRTQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      '@typescript-eslint/parser': ^8.57.0
+      '@typescript-eslint/parser': ^8.58.1
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/parser@8.56.1':
     resolution: {integrity: sha512-klQbnPAAiGYFyI02+znpBRLyjL4/BrBd0nyWkdC0s/6xFLkXYQ8OoRrSkqacS1ddVxf/LDyODIKbQ5TgKAf/Fg==}
@@ -549,12 +544,12 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/parser@8.57.0':
-    resolution: {integrity: sha512-XZzOmihLIr8AD1b9hL9ccNMzEMWt/dE2u7NyTY9jJG6YNiNthaD5XtUHVF2uCXZ15ng+z2hT3MVuxnUYhq6k1g==}
+  '@typescript-eslint/parser@8.58.1':
+    resolution: {integrity: sha512-gGkiNMPqerb2cJSVcruigx9eHBlLG14fSdPdqMoOcBfh+vvn4iCq2C8MzUB89PrxOXk0y3GZ1yIWb9aOzL93bw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/project-service@8.56.1':
     resolution: {integrity: sha512-TAdqQTzHNNvlVFfR+hu2PDJrURiwKsUvxFn1M0h95BB8ah5jejas08jUWG4dBA68jDMI988IvtfdAI53JzEHOQ==}
@@ -562,11 +557,11 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/project-service@8.57.0':
-    resolution: {integrity: sha512-pR+dK0BlxCLxtWfaKQWtYr7MhKmzqZxuii+ZjuFlZlIGRZm22HnXFqa2eY+90MUz8/i80YJmzFGDUsi8dMOV5w==}
+  '@typescript-eslint/project-service@8.58.1':
+    resolution: {integrity: sha512-gfQ8fk6cxhtptek+/8ZIqw8YrRW5048Gug8Ts5IYcMLCw18iUgrZAEY/D7s4hkI0FxEfGakKuPK/XUMPzPxi5g==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/rule-tester@8.56.1':
     resolution: {integrity: sha512-EWuV5Vq1EFYJEOVcILyWPO35PjnT0c6tv99PCpD12PgfZae5/Jo+F17hGjsEs2Moe+Dy1J7KIr8y037cK8+/rQ==}
@@ -578,8 +573,8 @@ packages:
     resolution: {integrity: sha512-YAi4VDKcIZp0O4tz/haYKhmIDZFEUPOreKbfdAN3SzUDMcPhJ8QI99xQXqX+HoUVq8cs85eRKnD+rne2UAnj2w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@typescript-eslint/scope-manager@8.57.0':
-    resolution: {integrity: sha512-nvExQqAHF01lUM66MskSaZulpPL5pgy5hI5RfrxviLgzZVffB5yYzw27uK/ft8QnKXI2X0LBrHJFr1TaZtAibw==}
+  '@typescript-eslint/scope-manager@8.58.1':
+    resolution: {integrity: sha512-TPYUEqJK6avLcEjumWsIuTpuYODTTDAtoMdt8ZZa93uWMTX13Nb8L5leSje1NluammvU+oI3QRr5lLXPgihX3w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
   '@typescript-eslint/tsconfig-utils@8.56.1':
@@ -594,12 +589,18 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/type-utils@8.57.0':
-    resolution: {integrity: sha512-yjgh7gmDcJ1+TcEg8x3uWQmn8ifvSupnPfjP21twPKrDP/pTHlEQgmKcitzF/rzPSmv7QjJ90vRpN4U+zoUjwQ==}
+  '@typescript-eslint/tsconfig-utils@8.58.1':
+    resolution: {integrity: sha512-JAr2hOIct2Q+qk3G+8YFfqkqi7sC86uNryT+2i5HzMa2MPjw4qNFvtjnw1IiA1rP7QhNKVe21mSSLaSjwA1Olw==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
+  '@typescript-eslint/type-utils@8.58.1':
+    resolution: {integrity: sha512-HUFxvTJVroT+0rXVJC7eD5zol6ID+Sn5npVPWoFuHGg9Ncq5Q4EYstqR+UOqaNRFXi5TYkpXXkLhoCHe3G0+7w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/types@8.56.1':
     resolution: {integrity: sha512-dbMkdIUkIkchgGDIv7KLUpa0Mda4IYjo4IAMJUZ+3xNoUXxMsk9YtKpTHSChRS85o+H9ftm51gsK1dZReY9CVw==}
@@ -609,17 +610,21 @@ packages:
     resolution: {integrity: sha512-dTLI8PEXhjUC7B9Kre+u0XznO696BhXcTlOn0/6kf1fHaQW8+VjJAVHJ3eTI14ZapTxdkOmc80HblPQLaEeJdg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/types@8.58.1':
+    resolution: {integrity: sha512-io/dV5Aw5ezwzfPBBWLoT+5QfVtP8O7q4Kftjn5azJ88bYyp/ZMCsyW1lpKK46EXJcaYMZ1JtYj+s/7TdzmQMw==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@typescript-eslint/typescript-estree@8.56.1':
     resolution: {integrity: sha512-qzUL1qgalIvKWAf9C1HpvBjif+Vm6rcT5wZd4VoMb9+Km3iS3Cv9DY6dMRMDtPnwRAFyAi7YXJpTIEXLvdfPxg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/typescript-estree@8.57.0':
-    resolution: {integrity: sha512-m7faHcyVg0BT3VdYTlX8GdJEM7COexXxS6KqGopxdtkQRvBanK377QDHr4W/vIPAR+ah9+B/RclSW5ldVniO1Q==}
+  '@typescript-eslint/typescript-estree@8.58.1':
+    resolution: {integrity: sha512-w4w7WR7GHOjqqPnvAYbazq+Y5oS68b9CzasGtnd6jIeOIeKUzYzupGTB2T4LTPSv4d+WPeccbxuneTFHYgAAWg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/utils@8.56.1':
     resolution: {integrity: sha512-HPAVNIME3tABJ61siYlHzSWCGtOoeP2RTIaHXFMPqjrQKCGB9OgUVdiNgH7TJS2JNIQ5qQ4RsAUDuGaGme/KOA==}
@@ -628,19 +633,19 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/utils@8.57.0':
-    resolution: {integrity: sha512-5iIHvpD3CZe06riAsbNxxreP+MuYgVUsV0n4bwLH//VJmgtt54sQeY2GszntJ4BjYCpMzrfVh2SBnUQTtys2lQ==}
+  '@typescript-eslint/utils@8.58.1':
+    resolution: {integrity: sha512-Ln8R0tmWC7pTtLOzgJzYTXSCjJ9rDNHAqTaVONF4FEi2qwce8mD9iSOxOpLFFvWp/wBFlew0mjM1L1ihYWfBdQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/visitor-keys@8.56.1':
     resolution: {integrity: sha512-KiROIzYdEV85YygXw6BI/Dx4fnBlFQu6Mq4QE4MOH9fFnhohw6wX/OAvDY2/C+ut0I3RSPKenvZJIVYqJNkhEw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@typescript-eslint/visitor-keys@8.57.0':
-    resolution: {integrity: sha512-zm6xx8UT/Xy2oSr2ZXD0pZo7Jx2XsCoID2IUh9YSTFRu7z+WdwYTRk6LhUftm1crwqbuoF6I8zAFeCMw0YjwDg==}
+  '@typescript-eslint/visitor-keys@8.58.1':
+    resolution: {integrity: sha512-y+vH7QE8ycjoa0bWciFg7OpFcipUuem1ujhrdLtq1gByKwfbC7bPeKsiny9e0urg93DqwGcHey+bGRKCnF1nZQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
   '@typescript/native-preview-darwin-arm64@7.0.0-dev.20260406.1':
@@ -682,14 +687,17 @@ packages:
     resolution: {integrity: sha512-hlVajr01Y/ZmI9iZ7A6BgPxqXccGqxuc/PmVNdanr/LZdtsH9q11y2H3NFMaOrbPlDoeWxHvGUT3wsZllCphyg==}
     hasBin: true
 
-  '@vitest/eslint-plugin@1.6.12':
-    resolution: {integrity: sha512-4kI47BJNFE+EQ5bmPbHzBF+ibNzx2Fj0Jo9xhWsTPxMddlHwIWl6YAxagefh461hrwx/W0QwBZpxGS404kBXyg==}
+  '@vitest/eslint-plugin@1.6.15':
+    resolution: {integrity: sha512-dTMjrdngmcB+DxomlKQ+SUubCTvd0m2hQQFpv5sx+GRodmeoxr2PVbphk57SVp250vpxphk9Ccwyv6fQ6+2gkA==}
     engines: {node: '>=18'}
     peerDependencies:
+      '@typescript-eslint/eslint-plugin': '*'
       eslint: '>=8.57.0'
       typescript: '>=5.0.0'
       vitest: '*'
     peerDependenciesMeta:
+      '@typescript-eslint/eslint-plugin':
+        optional: true
       typescript:
         optional: true
       vitest:
@@ -789,18 +797,26 @@ packages:
     resolution: {integrity: sha512-GfisEZEJvzKrmGWkvfhgzcz/BllN1USeqD2V6tg14OAOgaCD2Z/PUEuxnAZ/nPvmaHRG7a8y77p1T/IRQ4D1Hw==}
     engines: {node: '>=4'}
 
+  commander@8.3.0:
+    resolution: {integrity: sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==}
+    engines: {node: '>= 12'}
+
   comment-parser@1.4.5:
     resolution: {integrity: sha512-aRDkn3uyIlCFfk5NUA+VdwMmMsh8JGhc4hapfV4yxymHGQ3BVskMQfoXGpCo5IoBuQ9tS5iiVKhCpTcB4pW4qw==}
     engines: {node: '>= 12.0.0'}
 
+  comment-parser@1.4.6:
+    resolution: {integrity: sha512-ObxuY6vnbWTN6Od72xfwN9DbzC7Y2vv8u1Soi9ahRKL37gb6y1qk6/dgjs+3JWuXJHWvsg3BXIwzd/rkmAwavg==}
+    engines: {node: '>= 12.0.0'}
+
   confbox@0.1.8:
     resolution: {integrity: sha512-RMtmw0iFkeR4YV+fUOSucriAQNb9g8zFR52MWCtl+cCZOFRNL6zeB395vPzFhEjjn4fMxXudmELnl/KF/WrK6w==}
 
   confbox@0.2.2:
     resolution: {integrity: sha512-1NB+BKqhtNipMsov4xI/NnhCKp9XG9NamYp5PVm9klAT0fsrNPjaFICsCFhNhwZJKNh7zB/3q8qXz0E9oaMNtQ==}
 
-  core-js-compat@3.48.0:
-    resolution: {integrity: sha512-OM4cAF3D6VtH/WkLtWvyNC56EZVXsZdU3iqaMG2B4WvYrlqU831pc4UtG5yp0sE9z8Y02wVN7PjW5Zf9Gt0f1Q==}
+  core-js-compat@3.49.0:
+    resolution: {integrity: sha512-VQXt1jr9cBz03b331DFDCCP90b3fanciLkgiOoy8SBHy06gNf+vQ1A3WFLqG7I8TipYIKeYK9wxd0tUrvHcOZA==}
 
   cross-spawn@7.0.6:
     resolution: {integrity: sha512-uV2QOWP2nWzsy2aMp8aRibhi9dlzF5Hgh5SHaB9OiTGEyDTiJJyx0uy51QXdyWbtAHNua4XJzUKca3OzKUd3vA==}
@@ -886,21 +902,21 @@ packages:
     peerDependencies:
       eslint: '>=6.0.0'
 
-  eslint-config-flat-gitignore@2.2.1:
-    resolution: {integrity: sha512-wA5EqN0era7/7Gt5Botlsfin/UNY0etJSEeBgbUlFLFrBi47rAN//+39fI7fpYcl8RENutlFtvp/zRa/M/pZNg==}
+  eslint-config-flat-gitignore@2.3.0:
+    resolution: {integrity: sha512-bg4ZLGgoARg1naWfsINUUb/52Ksw/K22K+T16D38Y8v+/sGwwIYrGvH/JBjOin+RQtxxC9tzNNiy4shnGtGyyQ==}
     peerDependencies:
       eslint: ^9.5.0 || ^10.0.0
 
-  eslint-flat-config-utils@3.0.2:
-    resolution: {integrity: sha512-mPvevWSDQFwgABvyCurwIu6ZdKxGI5NW22/BGDwA1T49NO6bXuxbV9VfJK/tkQoNyPogT6Yu1d57iM0jnZVWmg==}
+  eslint-flat-config-utils@3.1.0:
+    resolution: {integrity: sha512-lM+Nwo2CzpuTS/RASQExlEIwk/BQoKqJWX6VbDlLMb/mveqvt9MMrRXFEkG3bseuK6g8noKZLeX82epkILtv4A==}
 
-  eslint-json-compat-utils@0.2.1:
-    resolution: {integrity: sha512-YzEodbDyW8DX8bImKhAcCeu/L31Dd/70Bidx2Qex9OFUtgzXLqtfWL4Hr5fM/aCCB8QUZLuJur0S9k6UfgFkfg==}
+  eslint-json-compat-utils@0.2.3:
+    resolution: {integrity: sha512-RbBmDFyu7FqnjE8F0ZxPNzx5UaptdeS9Uu50r7A+D7s/+FCX+ybiyViYEgFUaFIFqSWJgZRTpL5d8Kanxxl2lQ==}
     engines: {node: '>=12'}
     peerDependencies:
       '@eslint/json': '*'
       eslint: '*'
-      jsonc-eslint-parser: ^2.4.0
+      jsonc-eslint-parser: ^2.4.0 || ^3.0.0
     peerDependenciesMeta:
       '@eslint/json':
         optional: true
@@ -934,20 +950,20 @@ packages:
     peerDependencies:
       eslint: '>=8'
 
-  eslint-plugin-import-lite@0.5.2:
-    resolution: {integrity: sha512-XvfdWOC5dSLEI9krIPRlNmKSI2ViIE9pVylzfV9fCq0ZpDaNeUk6o0wZv0OzN83QdadgXp1NsY0qjLINxwYCsw==}
+  eslint-plugin-import-lite@0.6.0:
+    resolution: {integrity: sha512-80vevx2A7i3H7n1/6pqDO8cc5wRz6OwLDvIyVl9UflBV1N1f46e9Ihzi65IOLYoSxM6YykK2fTw1xm0Ixx6aTQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      eslint: '>=9.0.0'
+      eslint: ^9.0.0 || ^10.0.0
 
-  eslint-plugin-jsdoc@62.7.1:
-    resolution: {integrity: sha512-4Zvx99Q7d1uggYBUX/AIjvoyqXhluGbbKrRmG8SQTLprPFg6fa293tVJH1o1GQwNe3lUydd8ZHzn37OaSncgSQ==}
+  eslint-plugin-jsdoc@62.9.0:
+    resolution: {integrity: sha512-PY7/X4jrVgoIDncUmITlUqK546Ltmx/Pd4Hdsu4CvSjryQZJI2mEV4vrdMufyTetMiZ5taNSqvK//BTgVUlNkA==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: ^7.0.0 || ^8.0.0 || ^9.0.0 || ^10.0.0
 
-  eslint-plugin-jsonc@3.1.1:
-    resolution: {integrity: sha512-7TSQO8ZyvOuXWb0sYke3KUSh0DJA4/QviKfuzD3/Cy3XDjtrIrTWQbjb7j/Yy2l/DgwuM+lCS2c/jqJifv5jhg==}
+  eslint-plugin-jsonc@3.1.2:
+    resolution: {integrity: sha512-dopTxdB22iuOkgKyJCupEC5IYBItUT4J/teq1H5ddUObcaYhOURxtJElZczdcYnnKCghNU/vccuyPkliy2Wxsg==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: '>=9.38.0'
@@ -962,8 +978,8 @@ packages:
     resolution: {integrity: sha512-brcKcxGnISN2CcVhXJ/kEQlNa0MEfGRtwKtWA16SkqXHKitaKIMrfemJKLKX1YqDU5C/5JY3PvZXd5jEW04e0Q==}
     engines: {node: '>=5.0.0'}
 
-  eslint-plugin-perfectionist@5.6.0:
-    resolution: {integrity: sha512-pxrLrfRp5wl1Vol1fAEa/G5yTXxefTPJjz07qC7a8iWFXcOZNuWBItMQ2OtTzfQIvMq6bMyYcrzc3Wz++na55Q==}
+  eslint-plugin-perfectionist@5.8.0:
+    resolution: {integrity: sha512-k8uIptWIxkUclonCFGyDzgYs9NI+Qh0a7cUXS3L7IYZDEsjXuimFBVbxXPQQngWqMiaxJRwbtYB4smMGMqF+cw==}
     engines: {node: ^20.0.0 || >=22.0.0}
     peerDependencies:
       eslint: ^8.45.0 || ^9.0.0 || ^10.0.0
@@ -985,8 +1001,8 @@ packages:
     peerDependencies:
       eslint: '>=9.38.0'
 
-  eslint-plugin-unicorn@63.0.0:
-    resolution: {integrity: sha512-Iqecl9118uQEXYh7adylgEmGfkn5es3/mlQTLLkd4pXkIk9CTGrAbeUux+YljSa2ohXCBmQQ0+Ej1kZaFgcfkA==}
+  eslint-plugin-unicorn@64.0.0:
+    resolution: {integrity: sha512-rNZwalHh8i0UfPlhNwg5BTUO1CMdKNmjqe+TgzOTZnpKoi8VBgsW7u9qCHIdpxEzZ1uwrJrPF0uRb7l//K38gA==}
     engines: {node: ^20.10.0 || >=21.0.0}
     peerDependencies:
       eslint: '>=9.38.0'
@@ -1097,6 +1113,15 @@ packages:
   fast-levenshtein@2.0.6:
     resolution: {integrity: sha512-DCXu6Ifhqcks7TZKY3Hxp3y6qphY5SJZmrWMDrKcERSOXWQdMhU9Ig/PYrzyw/ul9jOIyh0N4M0tbC5hodg8dw==}
 
+  fast-string-truncated-width@1.2.1:
+    resolution: {integrity: sha512-Q9acT/+Uu3GwGj+5w/zsGuQjh9O1TyywhIwAxHudtWrgF09nHOPrvTLhQevPbttcxjr/SNN7mJmfOw/B1bXgow==}
+
+  fast-string-width@1.1.0:
+    resolution: {integrity: sha512-O3fwIVIH5gKB38QNbdg+3760ZmGz0SZMgvwJbA1b2TGXceKE6A2cOlfogh1iw8lr049zPyd7YADHy+B7U4W9bQ==}
+
+  fast-wrap-ansi@0.1.6:
+    resolution: {integrity: sha512-HlUwET7a5gqjURj70D5jl7aC3Zmy4weA1SHUfM0JFI0Ptq987NH2TwbBFLoERhfwk+E+eaq4EK3jXoT+R3yp3w==}
+
   fault@2.0.1:
     resolution: {integrity: sha512-WtySTkS4OKev5JtpHXnib4Gxiurzh5NCGvWrFaZ34m6JehfTUhKZvn9njTfw48t6JumVQOmrKqpmGcdwxnhqBQ==}
 
@@ -1132,9 +1157,6 @@ packages:
     resolution: {integrity: sha512-wzsgA6WOq+09wrU1tsJ09udeR/YZRaeArL9e1wPbFg3GG2yDnC2ldKpxs4xunpFF9DgqCqOIra3bc1HWrJ37Ww==}
     engines: {node: '>=0.4.x'}
 
-  get-tsconfig@4.13.6:
-    resolution: {integrity: sha512-shZT/QMiSHc/YBLxxOkMtgSid5HFoauqCE3/exfsEcwg1WkeqjG+V40yBbBrsD+jW2HDXcs28xOfcbm2jI8Ddw==}
-
   get-tsconfig@4.13.7:
     resolution: {integrity: sha512-7tN6rFgBlMgpBML5j8typ92BKFi2sFQvIdpAqLA2beia5avZDrMs0FLZiM5etShWq5irVyGcGMEA1jcDaK7A/Q==}
 
@@ -1149,12 +1171,8 @@ packages:
     resolution: {integrity: sha512-7ACyT3wmyp3I61S4fG682L0VA2RGD9otkqGJIwNUMF1SWUombIIk+af1unuDYgMm082aHYwD+mzJvv9Iu8dsgg==}
     engines: {node: '>=18'}
 
-  globals@16.5.0:
-    resolution: {integrity: sha512-c/c15i26VrJ4IRt5Z89DnIzCGDn9EcebibhAOjw5ibqEHsE1wLUgkPn9RDmNcUKyU87GeaL633nyJ+pplFR2ZQ==}
-    engines: {node: '>=18'}
-
-  globals@17.4.0:
-    resolution: {integrity: sha512-hjrNztw/VajQwOLsMNT1cbJiH2muO3OROCHnbehc8eY5JyD2gqz4AcMHPqgaOR59DjgUjYAYLeH699g/eWi2jw==}
+  globals@17.5.0:
+    resolution: {integrity: sha512-qoV+HK2yFl/366t2/Cb3+xxPUo5BuMynomoDmiaZBIdbs+0pYbjfZU+twLhGKp4uCZ/+NbtpVepH5bGCxRyy2g==}
     engines: {node: '>=18'}
 
   globrex@0.1.2:
@@ -1208,6 +1226,10 @@ packages:
     resolution: {integrity: sha512-/2uqY7x6bsrpi3i9LVU6J89352C0rpMk0as8trXxCtvd4kPk1ke/Eyif6wqfSLvoNJqcDG9Vk4UsXgygzCt2xA==}
     engines: {node: '>=20.0.0'}
 
+  jsdoc-type-pratt-parser@7.2.0:
+    resolution: {integrity: sha512-dh140MMgjyg3JhJZY/+iEzW+NO5xR2gpbDFKHqotCmexElVntw7GjWjt511+C/Ef02RU5TKYrJo/Xlzk+OLaTw==}
+    engines: {node: '>=20.0.0'}
+
   jsesc@3.1.0:
     resolution: {integrity: sha512-/sM3dO2FOzXjKQhJuo0Q173wf2KOo8t4I8vHy6lF9poUp7bKT0/NHE8fPX23PwfhnykfqnC2xRxOnVw5XuGIaA==}
     engines: {node: '>=6'}
@@ -1226,6 +1248,10 @@ packages:
     resolution: {integrity: sha512-75EA7EWZExL/j+MDKQrRbdzcRI2HOkRlmUw8fZJc1ioqFEOvBsq7Rt+A6yCxOt9w/TYNpkt52gC6nm/g5tFIng==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
+  katex@0.16.45:
+    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
+    hasBin: true
+
   keyv@4.5.4:
     resolution: {integrity: sha512-oxVHkHR/EJf2CNXnWxRLW6mg7JyCCUcG0DtEGmL2ctUo1PNTin1PUil+r/+4r5MpVgC/fn1kjsx7mjSujKqIpw==}
 
@@ -1280,6 +1306,9 @@ packages:
   mdast-util-gfm@3.1.0:
     resolution: {integrity: sha512-0ulfdQOM3ysHhCJ1p06l0b0VKlhU0wuQs3thxZQagjcjPrlFRqY215uZGHHJan9GEAXd9MbfPjFJz+qMkVR6zQ==}
 
+  mdast-util-math@3.0.0:
+    resolution: {integrity: sha512-Tl9GBNeG/AhJnQM221bJR2HPvLOSnLE/T9cJI9tlc6zwQk2nPk/4f0cHkOdEixQPC/j8UtKDdITswvLAy1OZ1w==}
+
   mdast-util-phrasing@4.1.0:
     resolution: {integrity: sha512-TqICwyvJJpBwvGAMZjj4J2n0X8QWp21b9l0o7eXyVJ25YNWYbJDVIyD1bZXE6WtV6RmKJVYmQAKWa0zWOABz2w==}
 
@@ -1316,6 +1345,9 @@ packages:
   micromark-extension-gfm@3.0.0:
     resolution: {integrity: sha512-vsKArQsicm7t0z2GugkCKtZehqUm31oeGBV/KVSorWSy8ZlNAv7ytjFhvaryUiCUJYqs+NoE6AFhpQvBTM6Q4w==}
 
+  micromark-extension-math@3.1.0:
+    resolution: {integrity: sha512-lvEqd+fHjATVs+2v/8kg9i5Q0AP2k85H0WUOwpIVvUML8BapsMvh1XAogmQjOCsLpoKRCVQqEkQBB3NhVBcsOg==}
+
   micromark-factory-destination@2.0.1:
     resolution: {integrity: sha512-Xe6rDdJlkmbFRExpTOmRj9N3MaWmbAgdpSrBQvCFqhezUn4AHqJHbaEnfbVYYiexVSs//tqOdY/DxhjdCiJnIA==}
 
@@ -1452,10 +1484,6 @@ packages:
   picocolors@1.1.1:
     resolution: {integrity: sha512-xceH2snhtb5M9liqDsmEw56le376mTZkEX/jEb/RxNFyegNul7eNslCXP9FDj/Lcu0X8KEyMceP2ntpaHrDEVA==}
 
-  picomatch@4.0.3:
-    resolution: {integrity: sha512-5gTmgEY/sqK6gFXLIsQNH19lWb4ebPDLA4SdLP7dsWkIXHWlG66oPuVvXSGFPppYZz8ZDZq0dYYrbHfBCVUb1Q==}
-    engines: {node: '>=12'}
-
   picomatch@4.0.4:
     resolution: {integrity: sha512-QP88BAKvMam/3NxH6vj2o21R6MjxZUAd6nlwAS/pnGvN9IVLocLHxGYIzFhg6fUQ+5th6P4dv4eW9jX3DSIj7A==}
     engines: {node: '>=12'}
@@ -1613,6 +1641,12 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4'
 
+  ts-api-utils@2.5.0:
+    resolution: {integrity: sha512-OJ/ibxhPlqrMM0UiNHJ/0CKQkoKF243/AEmplt3qpRgkW8VG7IfOS41h7V8TjITqdByHzrjcS/2si+y4lIh8NA==}
+    engines: {node: '>=18.12'}
+    peerDependencies:
+      typescript: '>=4.8.4'
+
   ts-declaration-location@1.0.7:
     resolution: {integrity: sha512-EDyGAwH1gO0Ausm9gV6T2nUvBgXT5kGoCMJPllOaooZ+4VvJiKBdZE7wK18N1deEowhcUptS+5GXZK8U/fvpwA==}
     peerDependencies:
@@ -1678,6 +1712,9 @@ packages:
   unist-util-is@6.0.1:
     resolution: {integrity: sha512-LsiILbtBETkDz8I9p1dQ0uyRUWuaQzd/cuEeS1hoRSyW5E5XGmTzlwY1OrNzzakGowI9Dr/I8HVaw4hTtnxy8g==}
 
+  unist-util-remove-position@5.0.0:
+    resolution: {integrity: sha512-Hp5Kh3wLxv0PHj9m2yZhhLt58KzPtEYKQQ4yxfYFEO7EvHwzyDYnduhHnY1mDxoqr7VUwVuHXk9RXKIiYS1N8Q==}
+
   unist-util-stringify-position@4.0.0:
     resolution: {integrity: sha512-0ASV06AAoKCDkS2+xw5RXJywruurpbC4JZSm7nr7MOt1ojAzvyyaO+UxZf18j8FCF6kmzCZKcAgN/yu2gm2XgQ==}
 
@@ -1780,40 +1817,40 @@ snapshots:
 
   '@actions/io@3.0.2': {}
 
-  '@antfu/eslint-config@7.7.3(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.2.0)(typescript@5.9.3))(@vue/compiler-sfc@3.5.24)(eslint@10.2.0)(typescript@5.9.3)':
+  '@antfu/eslint-config@8.2.0(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.1(typescript@5.9.3))(@typescript-eslint/utils@8.58.1(eslint@10.2.0)(typescript@5.9.3))(@vue/compiler-sfc@3.5.24)(eslint@10.2.0)(typescript@5.9.3)':
     dependencies:
       '@antfu/install-pkg': 1.1.0
-      '@clack/prompts': 1.1.0
-      '@e18e/eslint-plugin': 0.2.0(eslint@10.2.0)
+      '@clack/prompts': 1.2.0
+      '@e18e/eslint-plugin': 0.3.0(eslint@10.2.0)
       '@eslint-community/eslint-plugin-eslint-comments': 4.7.1(eslint@10.2.0)
-      '@eslint/markdown': 7.5.1
+      '@eslint/markdown': 8.0.1
       '@stylistic/eslint-plugin': 5.10.0(eslint@10.2.0)
-      '@typescript-eslint/eslint-plugin': 8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)
-      '@typescript-eslint/parser': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
-      '@vitest/eslint-plugin': 1.6.12(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/parser': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
+      '@vitest/eslint-plugin': 1.6.15(@typescript-eslint/eslint-plugin@8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)
       ansis: 4.2.0
       cac: 7.0.0
       eslint: 10.2.0
-      eslint-config-flat-gitignore: 2.2.1(eslint@10.2.0)
-      eslint-flat-config-utils: 3.0.2
+      eslint-config-flat-gitignore: 2.3.0(eslint@10.2.0)
+      eslint-flat-config-utils: 3.1.0
       eslint-merge-processors: 2.0.0(eslint@10.2.0)
       eslint-plugin-antfu: 3.2.2(eslint@10.2.0)
-      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)
-      eslint-plugin-import-lite: 0.5.2(eslint@10.2.0)
-      eslint-plugin-jsdoc: 62.7.1(eslint@10.2.0)
-      eslint-plugin-jsonc: 3.1.1(eslint@10.2.0)
+      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.1(typescript@5.9.3))(@typescript-eslint/utils@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)
+      eslint-plugin-import-lite: 0.6.0(eslint@10.2.0)
+      eslint-plugin-jsdoc: 62.9.0(eslint@10.2.0)
+      eslint-plugin-jsonc: 3.1.2(eslint@10.2.0)
       eslint-plugin-n: 17.24.0(eslint@10.2.0)(typescript@5.9.3)
       eslint-plugin-no-only-tests: 3.3.0
-      eslint-plugin-perfectionist: 5.6.0(eslint@10.2.0)(typescript@5.9.3)
+      eslint-plugin-perfectionist: 5.8.0(eslint@10.2.0)(typescript@5.9.3)
       eslint-plugin-pnpm: 1.6.0(eslint@10.2.0)
       eslint-plugin-regexp: 3.1.0(eslint@10.2.0)
       eslint-plugin-toml: 1.3.1(eslint@10.2.0)
-      eslint-plugin-unicorn: 63.0.0(eslint@10.2.0)
-      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)
-      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.0))(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(vue-eslint-parser@10.4.0(eslint@10.2.0))
+      eslint-plugin-unicorn: 64.0.0(eslint@10.2.0)
+      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)
+      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.0))(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(vue-eslint-parser@10.4.0(eslint@10.2.0))
       eslint-plugin-yml: 3.3.1(eslint@10.2.0)
       eslint-processor-vue-blocks: 2.0.0(@vue/compiler-sfc@3.5.24)(eslint@10.2.0)
-      globals: 17.4.0
+      globals: 17.5.0
       local-pkg: 1.1.2
       parse-gitignore: 2.0.0
       toml-eslint-parser: 1.0.3
@@ -1870,16 +1907,19 @@ snapshots:
       '@babel/helper-string-parser': 8.0.0-rc.3
       '@babel/helper-validator-identifier': 8.0.0-rc.3
 
-  '@clack/core@1.1.0':
+  '@clack/core@1.2.0':
     dependencies:
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
-  '@clack/prompts@1.1.0':
+  '@clack/prompts@1.2.0':
     dependencies:
-      '@clack/core': 1.1.0
+      '@clack/core': 1.2.0
+      fast-string-width: 1.1.0
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
-  '@e18e/eslint-plugin@0.2.0(eslint@10.2.0)':
+  '@e18e/eslint-plugin@0.3.0(eslint@10.2.0)':
     dependencies:
       eslint-plugin-depend: 1.5.0(eslint@10.2.0)
     optionalDependencies:
@@ -1909,6 +1949,14 @@ snapshots:
       esquery: 1.7.0
       jsdoc-type-pratt-parser: 7.1.1
 
+  '@es-joy/jsdoccomment@0.86.0':
+    dependencies:
+      '@types/estree': 1.0.8
+      '@typescript-eslint/types': 8.58.1
+      comment-parser: 1.4.6
+      esquery: 1.7.0
+      jsdoc-type-pratt-parser: 7.2.0
+
   '@es-joy/resolve.exports@1.2.0': {}
 
   '@eslint-community/eslint-plugin-eslint-comments@4.7.1(eslint@10.2.0)':
@@ -1924,9 +1972,9 @@ snapshots:
 
   '@eslint-community/regexpp@4.12.2': {}
 
-  '@eslint/compat@2.0.2(eslint@10.2.0)':
+  '@eslint/compat@2.0.5(eslint@10.2.0)':
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.1
     optionalDependencies:
       eslint: 10.2.0
 
@@ -1938,50 +1986,39 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@eslint/config-helpers@0.5.3':
-    dependencies:
-      '@eslint/core': 1.1.1
-
   '@eslint/config-helpers@0.5.4':
     dependencies:
       '@eslint/core': 1.2.0
 
-  '@eslint/core@0.17.0':
-    dependencies:
-      '@types/json-schema': 7.0.15
-
-  '@eslint/core@1.1.1':
+  '@eslint/core@1.2.0':
     dependencies:
       '@types/json-schema': 7.0.15
 
-  '@eslint/core@1.2.0':
+  '@eslint/core@1.2.1':
     dependencies:
       '@types/json-schema': 7.0.15
 
-  '@eslint/markdown@7.5.1':
+  '@eslint/markdown@8.0.1':
     dependencies:
-      '@eslint/core': 0.17.0
-      '@eslint/plugin-kit': 0.4.1
+      '@eslint/core': 1.2.0
+      '@eslint/plugin-kit': 0.6.1
       github-slugger: 2.0.0
       mdast-util-from-markdown: 2.0.2
       mdast-util-frontmatter: 2.0.1
       mdast-util-gfm: 3.1.0
+      mdast-util-math: 3.0.0
       micromark-extension-frontmatter: 2.0.0
       micromark-extension-gfm: 3.0.0
+      micromark-extension-math: 3.1.0
       micromark-util-normalize-identifier: 2.0.1
     transitivePeerDependencies:
       - supports-color
 
   '@eslint/object-schema@3.0.4': {}
 
-  '@eslint/plugin-kit@0.4.1':
-    dependencies:
-      '@eslint/core': 0.17.0
-      levn: 0.4.1
-
   '@eslint/plugin-kit@0.6.1':
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       levn: 0.4.1
 
   '@eslint/plugin-kit@0.7.0':
@@ -2141,7 +2178,7 @@ snapshots:
       eslint-visitor-keys: 4.2.1
       espree: 10.4.0
       estraverse: 5.3.0
-      picomatch: 4.0.3
+      picomatch: 4.0.4
 
   '@tybys/wasm-util@0.10.1':
     dependencies:
@@ -2156,10 +2193,16 @@ snapshots:
 
   '@types/estree@1.0.8': {}
 
+  '@types/hast@3.0.4':
+    dependencies:
+      '@types/unist': 3.0.3
+
   '@types/jsesc@2.5.1': {}
 
   '@types/json-schema@7.0.15': {}
 
+  '@types/katex@0.16.8': {}
+
   '@types/mdast@4.0.4':
     dependencies:
       '@types/unist': 3.0.3
@@ -2172,18 +2215,18 @@ snapshots:
 
   '@types/unist@3.0.3': {}
 
-  '@typescript-eslint/eslint-plugin@8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)':
+  '@typescript-eslint/eslint-plugin@8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)':
     dependencies:
       '@eslint-community/regexpp': 4.12.2
-      '@typescript-eslint/parser': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
-      '@typescript-eslint/scope-manager': 8.57.0
-      '@typescript-eslint/type-utils': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
-      '@typescript-eslint/visitor-keys': 8.57.0
+      '@typescript-eslint/parser': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.1
+      '@typescript-eslint/type-utils': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/visitor-keys': 8.58.1
       eslint: 10.2.0
       ignore: 7.0.5
       natural-compare: 1.4.0
-      ts-api-utils: 2.4.0(typescript@5.9.3)
+      ts-api-utils: 2.5.0(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -2200,12 +2243,12 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3)':
+  '@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/scope-manager': 8.57.0
-      '@typescript-eslint/types': 8.57.0
-      '@typescript-eslint/typescript-estree': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/visitor-keys': 8.57.0
+      '@typescript-eslint/scope-manager': 8.58.1
+      '@typescript-eslint/types': 8.58.1
+      '@typescript-eslint/typescript-estree': 8.58.1(typescript@5.9.3)
+      '@typescript-eslint/visitor-keys': 8.58.1
       debug: 4.4.3
       eslint: 10.2.0
       typescript: 5.9.3
@@ -2221,10 +2264,10 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/project-service@8.57.0(typescript@5.9.3)':
+  '@typescript-eslint/project-service@8.58.1(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/tsconfig-utils': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/types': 8.57.0
+      '@typescript-eslint/tsconfig-utils': 8.58.1(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.1
       debug: 4.4.3
       typescript: 5.9.3
     transitivePeerDependencies:
@@ -2249,10 +2292,10 @@ snapshots:
       '@typescript-eslint/types': 8.56.1
       '@typescript-eslint/visitor-keys': 8.56.1
 
-  '@typescript-eslint/scope-manager@8.57.0':
+  '@typescript-eslint/scope-manager@8.58.1':
     dependencies:
-      '@typescript-eslint/types': 8.57.0
-      '@typescript-eslint/visitor-keys': 8.57.0
+      '@typescript-eslint/types': 8.58.1
+      '@typescript-eslint/visitor-keys': 8.58.1
 
   '@typescript-eslint/tsconfig-utils@8.56.1(typescript@5.9.3)':
     dependencies:
@@ -2262,14 +2305,18 @@ snapshots:
     dependencies:
       typescript: 5.9.3
 
-  '@typescript-eslint/type-utils@8.57.0(eslint@10.2.0)(typescript@5.9.3)':
+  '@typescript-eslint/tsconfig-utils@8.58.1(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/types': 8.57.0
-      '@typescript-eslint/typescript-estree': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
+      typescript: 5.9.3
+
+  '@typescript-eslint/type-utils@8.58.1(eslint@10.2.0)(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/types': 8.58.1
+      '@typescript-eslint/typescript-estree': 8.58.1(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
       debug: 4.4.3
       eslint: 10.2.0
-      ts-api-utils: 2.4.0(typescript@5.9.3)
+      ts-api-utils: 2.5.0(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -2278,6 +2325,8 @@ snapshots:
 
   '@typescript-eslint/types@8.57.0': {}
 
+  '@typescript-eslint/types@8.58.1': {}
+
   '@typescript-eslint/typescript-estree@8.56.1(typescript@5.9.3)':
     dependencies:
       '@typescript-eslint/project-service': 8.56.1(typescript@5.9.3)
@@ -2293,17 +2342,17 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3)':
+  '@typescript-eslint/typescript-estree@8.58.1(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/project-service': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/tsconfig-utils': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/types': 8.57.0
-      '@typescript-eslint/visitor-keys': 8.57.0
+      '@typescript-eslint/project-service': 8.58.1(typescript@5.9.3)
+      '@typescript-eslint/tsconfig-utils': 8.58.1(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.1
+      '@typescript-eslint/visitor-keys': 8.58.1
       debug: 4.4.3
       minimatch: 10.2.4
       semver: 7.7.4
       tinyglobby: 0.2.15
-      ts-api-utils: 2.4.0(typescript@5.9.3)
+      ts-api-utils: 2.5.0(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -2319,12 +2368,12 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/utils@8.57.0(eslint@10.2.0)(typescript@5.9.3)':
+  '@typescript-eslint/utils@8.58.1(eslint@10.2.0)(typescript@5.9.3)':
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.0)
-      '@typescript-eslint/scope-manager': 8.57.0
-      '@typescript-eslint/types': 8.57.0
-      '@typescript-eslint/typescript-estree': 8.57.0(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.1
+      '@typescript-eslint/types': 8.58.1
+      '@typescript-eslint/typescript-estree': 8.58.1(typescript@5.9.3)
       eslint: 10.2.0
       typescript: 5.9.3
     transitivePeerDependencies:
@@ -2335,9 +2384,9 @@ snapshots:
       '@typescript-eslint/types': 8.56.1
       eslint-visitor-keys: 5.0.1
 
-  '@typescript-eslint/visitor-keys@8.57.0':
+  '@typescript-eslint/visitor-keys@8.58.1':
     dependencies:
-      '@typescript-eslint/types': 8.57.0
+      '@typescript-eslint/types': 8.58.1
       eslint-visitor-keys: 5.0.1
 
   '@typescript/native-preview-darwin-arm64@7.0.0-dev.20260406.1':
@@ -2371,12 +2420,13 @@ snapshots:
       '@typescript/native-preview-win32-arm64': 7.0.0-dev.20260406.1
       '@typescript/native-preview-win32-x64': 7.0.0-dev.20260406.1
 
-  '@vitest/eslint-plugin@1.6.12(eslint@10.2.0)(typescript@5.9.3)':
+  '@vitest/eslint-plugin@1.6.15(@typescript-eslint/eslint-plugin@8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/scope-manager': 8.57.0
-      '@typescript-eslint/utils': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.1
+      '@typescript-eslint/utils': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
       eslint: 10.2.0
     optionalDependencies:
+      '@typescript-eslint/eslint-plugin': 8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -2476,13 +2526,17 @@ snapshots:
     dependencies:
       escape-string-regexp: 1.0.5
 
+  commander@8.3.0: {}
+
   comment-parser@1.4.5: {}
 
+  comment-parser@1.4.6: {}
+
   confbox@0.1.8: {}
 
   confbox@0.2.2: {}
 
-  core-js-compat@3.48.0:
+  core-js-compat@3.49.0:
     dependencies:
       browserslist: 4.28.1
 
@@ -2540,17 +2594,17 @@ snapshots:
       eslint: 10.2.0
       semver: 7.7.4
 
-  eslint-config-flat-gitignore@2.2.1(eslint@10.2.0):
+  eslint-config-flat-gitignore@2.3.0(eslint@10.2.0):
     dependencies:
-      '@eslint/compat': 2.0.2(eslint@10.2.0)
+      '@eslint/compat': 2.0.5(eslint@10.2.0)
       eslint: 10.2.0
 
-  eslint-flat-config-utils@3.0.2:
+  eslint-flat-config-utils@3.1.0:
     dependencies:
-      '@eslint/config-helpers': 0.5.3
+      '@eslint/config-helpers': 0.5.4
       pathe: 2.0.3
 
-  eslint-json-compat-utils@0.2.1(eslint@10.2.0)(jsonc-eslint-parser@3.1.0):
+  eslint-json-compat-utils@0.2.3(eslint@10.2.0)(jsonc-eslint-parser@3.1.0):
     dependencies:
       eslint: 10.2.0
       esquery: 1.7.0
@@ -2564,12 +2618,12 @@ snapshots:
     dependencies:
       eslint: 10.2.0
 
-  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0):
+  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.0)(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.1(typescript@5.9.3))(@typescript-eslint/utils@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0):
     dependencies:
       '@es-joy/jsdoccomment': 0.84.0
       '@typescript-eslint/rule-tester': 8.56.1(eslint@10.2.0)(typescript@5.9.3)
-      '@typescript-eslint/typescript-estree': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/typescript-estree': 8.58.1(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
       eslint: 10.2.0
 
   eslint-plugin-depend@1.5.0(eslint@10.2.0):
@@ -2586,16 +2640,16 @@ snapshots:
       eslint: 10.2.0
       eslint-compat-utils: 0.5.1(eslint@10.2.0)
 
-  eslint-plugin-import-lite@0.5.2(eslint@10.2.0):
+  eslint-plugin-import-lite@0.6.0(eslint@10.2.0):
     dependencies:
       eslint: 10.2.0
 
-  eslint-plugin-jsdoc@62.7.1(eslint@10.2.0):
+  eslint-plugin-jsdoc@62.9.0(eslint@10.2.0):
     dependencies:
-      '@es-joy/jsdoccomment': 0.84.0
+      '@es-joy/jsdoccomment': 0.86.0
       '@es-joy/resolve.exports': 1.2.0
       are-docs-informative: 0.0.2
-      comment-parser: 1.4.5
+      comment-parser: 1.4.6
       debug: 4.4.3
       escape-string-regexp: 4.0.0
       eslint: 10.2.0
@@ -2610,15 +2664,15 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  eslint-plugin-jsonc@3.1.1(eslint@10.2.0):
+  eslint-plugin-jsonc@3.1.2(eslint@10.2.0):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.0)
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       '@eslint/plugin-kit': 0.6.1
       '@ota-meshi/ast-token-store': 0.3.0
       diff-sequences: 29.6.3
       eslint: 10.2.0
-      eslint-json-compat-utils: 0.2.1(eslint@10.2.0)(jsonc-eslint-parser@3.1.0)
+      eslint-json-compat-utils: 0.2.3(eslint@10.2.0)(jsonc-eslint-parser@3.1.0)
       jsonc-eslint-parser: 3.1.0
       natural-compare: 1.4.0
       synckit: 0.11.12
@@ -2631,7 +2685,7 @@ snapshots:
       enhanced-resolve: 5.18.4
       eslint: 10.2.0
       eslint-plugin-es-x: 7.8.0(eslint@10.2.0)
-      get-tsconfig: 4.13.6
+      get-tsconfig: 4.13.7
       globals: 15.15.0
       globrex: 0.1.2
       ignore: 5.3.2
@@ -2642,9 +2696,9 @@ snapshots:
 
   eslint-plugin-no-only-tests@3.3.0: {}
 
-  eslint-plugin-perfectionist@5.6.0(eslint@10.2.0)(typescript@5.9.3):
+  eslint-plugin-perfectionist@5.8.0(eslint@10.2.0)(typescript@5.9.3):
     dependencies:
-      '@typescript-eslint/utils': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
       eslint: 10.2.0
       natural-orderby: 5.0.0
     transitivePeerDependencies:
@@ -2675,7 +2729,7 @@ snapshots:
 
   eslint-plugin-toml@1.3.1(eslint@10.2.0):
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       '@eslint/plugin-kit': 0.6.1
       '@ota-meshi/ast-token-store': 0.3.0
       debug: 4.4.3
@@ -2684,17 +2738,17 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  eslint-plugin-unicorn@63.0.0(eslint@10.2.0):
+  eslint-plugin-unicorn@64.0.0(eslint@10.2.0):
     dependencies:
       '@babel/helper-validator-identifier': 7.28.5
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.0)
       change-case: 5.4.4
       ci-info: 4.4.0
       clean-regexp: 1.0.0
-      core-js-compat: 3.48.0
+      core-js-compat: 3.49.0
       eslint: 10.2.0
       find-up-simple: 1.0.1
-      globals: 16.5.0
+      globals: 17.5.0
       indent-string: 5.0.0
       is-builtin-module: 5.0.0
       jsesc: 3.1.0
@@ -2704,13 +2758,13 @@ snapshots:
       semver: 7.7.4
       strip-indent: 4.1.1
 
-  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0):
+  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0):
     dependencies:
       eslint: 10.2.0
     optionalDependencies:
-      '@typescript-eslint/eslint-plugin': 8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.1(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(typescript@5.9.3)
 
-  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.0))(@typescript-eslint/parser@8.57.0(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(vue-eslint-parser@10.4.0(eslint@10.2.0)):
+  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.0))(@typescript-eslint/parser@8.58.1(eslint@10.2.0)(typescript@5.9.3))(eslint@10.2.0)(vue-eslint-parser@10.4.0(eslint@10.2.0)):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.0)
       eslint: 10.2.0
@@ -2722,11 +2776,11 @@ snapshots:
       xml-name-validator: 4.0.0
     optionalDependencies:
       '@stylistic/eslint-plugin': 5.10.0(eslint@10.2.0)
-      '@typescript-eslint/parser': 8.57.0(eslint@10.2.0)(typescript@5.9.3)
+      '@typescript-eslint/parser': 8.58.1(eslint@10.2.0)(typescript@5.9.3)
 
   eslint-plugin-yml@3.3.1(eslint@10.2.0):
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       '@eslint/plugin-kit': 0.6.1
       '@ota-meshi/ast-token-store': 0.3.0
       debug: 4.4.3
@@ -2831,6 +2885,16 @@ snapshots:
 
   fast-levenshtein@2.0.6: {}
 
+  fast-string-truncated-width@1.2.1: {}
+
+  fast-string-width@1.1.0:
+    dependencies:
+      fast-string-truncated-width: 1.2.1
+
+  fast-wrap-ansi@0.1.6:
+    dependencies:
+      fast-string-width: 1.1.0
+
   fault@2.0.1:
     dependencies:
       format: 0.2.2
@@ -2859,10 +2923,6 @@ snapshots:
 
   format@0.2.2: {}
 
-  get-tsconfig@4.13.6:
-    dependencies:
-      resolve-pkg-maps: 1.0.0
-
   get-tsconfig@4.13.7:
     dependencies:
       resolve-pkg-maps: 1.0.0
@@ -2875,9 +2935,7 @@ snapshots:
 
   globals@15.15.0: {}
 
-  globals@16.5.0: {}
-
-  globals@17.4.0: {}
+  globals@17.5.0: {}
 
   globrex@0.1.2: {}
 
@@ -2911,6 +2969,8 @@ snapshots:
 
   jsdoc-type-pratt-parser@7.1.1: {}
 
+  jsdoc-type-pratt-parser@7.2.0: {}
+
   jsesc@3.1.0: {}
 
   json-buffer@3.0.1: {}
@@ -2925,6 +2985,10 @@ snapshots:
       eslint-visitor-keys: 5.0.1
       semver: 7.7.4
 
+  katex@0.16.45:
+    dependencies:
+      commander: 8.3.0
+
   keyv@4.5.4:
     dependencies:
       json-buffer: 3.0.1
@@ -3046,6 +3110,18 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  mdast-util-math@3.0.0:
+    dependencies:
+      '@types/hast': 3.0.4
+      '@types/mdast': 4.0.4
+      devlop: 1.1.0
+      longest-streak: 3.1.0
+      mdast-util-from-markdown: 2.0.2
+      mdast-util-to-markdown: 2.1.2
+      unist-util-remove-position: 5.0.0
+    transitivePeerDependencies:
+      - supports-color
+
   mdast-util-phrasing@4.1.0:
     dependencies:
       '@types/mdast': 4.0.4
@@ -3151,6 +3227,16 @@ snapshots:
       micromark-util-combine-extensions: 2.0.1
       micromark-util-types: 2.0.2
 
+  micromark-extension-math@3.1.0:
+    dependencies:
+      '@types/katex': 0.16.8
+      devlop: 1.1.0
+      katex: 0.16.45
+      micromark-factory-space: 2.0.1
+      micromark-util-character: 2.1.1
+      micromark-util-symbol: 2.0.1
+      micromark-util-types: 2.0.2
+
   micromark-factory-destination@2.0.1:
     dependencies:
       micromark-util-character: 2.1.1
@@ -3331,8 +3417,6 @@ snapshots:
 
   picocolors@1.1.1: {}
 
-  picomatch@4.0.3: {}
-
   picomatch@4.0.4: {}
 
   pkg-types@1.3.1:
@@ -3488,9 +3572,13 @@ snapshots:
     dependencies:
       typescript: 5.9.3
 
+  ts-api-utils@2.5.0(typescript@5.9.3):
+    dependencies:
+      typescript: 5.9.3
+
   ts-declaration-location@1.0.7(typescript@5.9.3):
     dependencies:
-      picomatch: 4.0.3
+      picomatch: 4.0.4
       typescript: 5.9.3
 
   tsdown@0.21.7(@typescript/native-preview@7.0.0-dev.20260406.1)(synckit@0.11.12)(typescript@5.9.3):
@@ -3546,6 +3634,11 @@ snapshots:
     dependencies:
       '@types/unist': 3.0.3
 
+  unist-util-remove-position@5.0.0:
+    dependencies:
+      '@types/unist': 3.0.3
+      unist-util-visit: 5.1.0
+
   unist-util-stringify-position@4.0.0:
     dependencies:
       '@types/unist': 3.0.3
diff --git a/pnpm-workspace.yaml b/pnpm-workspace.yaml
index 3127f42..481b2e4 100644
--- a/pnpm-workspace.yaml
+++ b/pnpm-workspace.yaml
@@ -8,7 +8,7 @@ packages:
 catalog:
   '@actions/core': ^3.0.0
   '@actions/github': ^9.0.0
-  '@antfu/eslint-config': ^7.7.3
+  '@antfu/eslint-config': ^8.2.0
   '@octokit/plugin-rest-endpoint-methods': ^17.0.0
   '@types/node': ^24.12.2
   '@typescript/native-preview': 7.0.0-dev.20260406.1