diff --git a/.github/workflows/broken-links.yml b/.github/workflows/broken-links.yml
index 1fdc2957de6..7e98540e136 100644
--- a/.github/workflows/broken-links.yml
+++ b/.github/workflows/broken-links.yml
@@ -20,7 +20,7 @@ jobs:
 
       - name: Link Checker
         id: lychee
-        uses: lycheeverse/lychee-action@v1.7.0
+        uses: lycheeverse/lychee-action@v2.0.2
         env:
           GITHUB_TOKEN: ${{secrets.GITHUB_TOKEN}}
         with:
diff --git a/package.json b/package.json
index d8a3a3a5c29..e2fdd025eb1 100644
--- a/package.json
+++ b/package.json
@@ -5,7 +5,29 @@
   "resolutions": {
     "node-forge": "^1.3.2",
     "glob": "^10.5.0",
-    "webpack": "^5.104.1"
+    "webpack": "^5.104.1",
+    "mermaid": "^11.15.0",
+    "dompurify": "^3.4.0",
+    "fast-uri": "^3.1.2",
+    "follow-redirects": "^1.16.0",
+    "tar": "^7.5.11",
+    "svgo": "^3.3.3",
+    "@babel/plugin-transform-modules-systemjs": "^7.29.4",
+    "serialize-javascript": "^7.0.5",
+    "mdast-util-to-hast": "^13.2.1",
+    "brace-expansion@^2": "^2.0.3",
+    "minimatch@^9": "^9.0.7",
+    "picomatch@^2": "^2.3.2",
+    "picomatch@^4": "^4.0.4",
+    "ajv@^6": "^6.14.0",
+    "ajv@^8": "^8.18.0",
+    "js-yaml@^3": "^3.14.2",
+    "js-yaml@^4": "^4.1.1",
+    "uuid@^11": "^11.1.1",
+    "lodash": "^4.18.1",
+    "lodash-es": "^4.18.1",
+    "ip-address": "^10.1.1",
+    "postcss": "^8.5.10"
   },
   "scripts": {
     "docusaurus": "docusaurus",
@@ -46,12 +68,12 @@
     "search-insights": "2.17.3"
   },
   "devDependencies": {
-    "@biomejs/biome": "2.0.6",
+    "@biomejs/biome": "2.4.16",
     "@docusaurus/module-type-aliases": "^3.10.1",
     "@docusaurus/tsconfig": "^3.10.1",
     "@docusaurus/types": "^3.10.1",
     "@types/prismjs": "^1",
-    "@types/react": "19.1.8",
+    "@types/react": "19.2.16",
     "mdx-loader": "^1.1.1",
     "mdxc": "1.1.1",
     "typescript": "~5.6.2"
diff --git a/yarn.lock b/yarn.lock
index ce97e839558..c56db1fd98e 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -476,7 +476,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@antfu/install-pkg@npm:^1.0.0":
+"@antfu/install-pkg@npm:^1.1.0":
   version: 1.1.0
   resolution: "@antfu/install-pkg@npm:1.1.0"
   dependencies:
@@ -486,13 +486,6 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@antfu/utils@npm:^8.1.0":
-  version: 8.1.1
-  resolution: "@antfu/utils@npm:8.1.1"
-  checksum: 10c0/cd55d322496f0324323a7bd312bbdc305db02f5c74c53d59213a00a7ecfd66926b6755a41f27c6e664a687cd7a967d3a8b12d3ea57f264ae45dd1c5c181f5160
-  languageName: node
-  linkType: hard
-
 "@babel/code-frame@npm:^7.0.0, @babel/code-frame@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/code-frame@npm:7.27.1"
@@ -504,6 +497,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/code-frame@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/code-frame@npm:7.29.7"
+  dependencies:
+    "@babel/helper-validator-identifier": "npm:^7.29.7"
+    js-tokens: "npm:^4.0.0"
+    picocolors: "npm:^1.1.1"
+  checksum: 10c0/169fc2080169a40c1760155eaaaf739bcb882df0bec76a83adbda5493645bc17270a3434b8848c494b1933e96fe1d147370001e3cda09a39f43ae30f08ef2069
+  languageName: node
+  linkType: hard
+
 "@babel/compat-data@npm:^7.27.2, @babel/compat-data@npm:^7.27.7":
   version: 7.27.7
   resolution: "@babel/compat-data@npm:7.27.7"
@@ -547,6 +551,19 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/generator@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/generator@npm:7.29.7"
+  dependencies:
+    "@babel/parser": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+    "@jridgewell/gen-mapping": "npm:^0.3.12"
+    "@jridgewell/trace-mapping": "npm:^0.3.28"
+    jsesc: "npm:^3.0.2"
+  checksum: 10c0/9bf72b01b5bd0ea5b1288a0e37dbd360bff2f2b1ce73342c0d40fb3db2ec3dc004ada5ffa925c5e12939a416eed59e600d562b8ecd938ce0d27dfd0eb6c6c2b7
+  languageName: node
+  linkType: hard
+
 "@babel/helper-annotate-as-pure@npm:^7.27.1, @babel/helper-annotate-as-pure@npm:^7.27.3":
   version: 7.27.3
   resolution: "@babel/helper-annotate-as-pure@npm:7.27.3"
@@ -614,6 +631,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-globals@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-globals@npm:7.29.7"
+  checksum: 10c0/f38417c40b1129a1b2b519ca961b9040c8827d1444fd74068702286b91b77089431dc76b6b9d5c1496e5da2a4f3ad329c6946e688ba3fa0d1d0b3d2b4f34f36a
+  languageName: node
+  linkType: hard
+
 "@babel/helper-member-expression-to-functions@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/helper-member-expression-to-functions@npm:7.27.1"
@@ -634,6 +658,16 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-module-imports@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-module-imports@npm:7.29.7"
+  dependencies:
+    "@babel/traverse": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+  checksum: 10c0/6adf60d97356027413342a092f818d9678c4f5caff716a33e3284b5ae14e47a9e88059d421dde4ee4894691260039a12602c0e7becadc175602194b40dfa345d
+  languageName: node
+  linkType: hard
+
 "@babel/helper-module-transforms@npm:^7.27.1, @babel/helper-module-transforms@npm:^7.27.3":
   version: 7.27.3
   resolution: "@babel/helper-module-transforms@npm:7.27.3"
@@ -647,6 +681,19 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-module-transforms@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-module-transforms@npm:7.29.7"
+  dependencies:
+    "@babel/helper-module-imports": "npm:^7.29.7"
+    "@babel/helper-validator-identifier": "npm:^7.29.7"
+    "@babel/traverse": "npm:^7.29.7"
+  peerDependencies:
+    "@babel/core": ^7.0.0
+  checksum: 10c0/ee5a2172c24a42be696836f4b0d947489c9729d8adf5821885cf77d1ad5333e3c447368e9a71f67df1099570490553dccf9f888ef0a92a48aa63cb086bd8c7e1
+  languageName: node
+  linkType: hard
+
 "@babel/helper-optimise-call-expression@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/helper-optimise-call-expression@npm:7.27.1"
@@ -663,6 +710,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-plugin-utils@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-plugin-utils@npm:7.29.7"
+  checksum: 10c0/380477a06133274a2759f9355929cb60a95e8b8fee624a1ae1fa349e1d1645b89daca456f72833f6d1062bffa12ee4271c5bf0cc5a61c0166cdc24c7591e2408
+  languageName: node
+  linkType: hard
+
 "@babel/helper-remap-async-to-generator@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/helper-remap-async-to-generator@npm:7.27.1"
@@ -706,6 +760,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-string-parser@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-string-parser@npm:7.29.7"
+  checksum: 10c0/194bc0f1716e396d5ffde56ad6119745fb9557662c98611590e5e454906783a4ccb21ce93056b8eb69a4909044834e45d96e50ac695bbe9e3221648fe033c06c
+  languageName: node
+  linkType: hard
+
 "@babel/helper-validator-identifier@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/helper-validator-identifier@npm:7.27.1"
@@ -713,6 +774,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-validator-identifier@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-validator-identifier@npm:7.29.7"
+  checksum: 10c0/4795354e7ae0dcafa72de1cd04ec51252dc1498517170beaf019e03effc5b7bf13c6b21a3949a77e07b8125be7f106ed1131350d8ebd4566ae874094a726d62b
+  languageName: node
+  linkType: hard
+
 "@babel/helper-validator-option@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/helper-validator-option@npm:7.27.1"
@@ -752,6 +820,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/parser@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/parser@npm:7.29.7"
+  dependencies:
+    "@babel/types": "npm:^7.29.7"
+  bin:
+    parser: ./bin/babel-parser.js
+  checksum: 10c0/65133038f80b54a714d6027cb77cee3f9a6b5c4c6842ce674301e13947cbcbfa8055e63acaf1b84c085d34226a14425b2c2b97b829e0e226d2e8f1299942a51d
+  languageName: node
+  linkType: hard
+
 "@babel/plugin-bugfix-firefox-class-in-computed-class-key@npm:^7.27.1":
   version: 7.27.1
   resolution: "@babel/plugin-bugfix-firefox-class-in-computed-class-key@npm:7.27.1"
@@ -1171,17 +1250,17 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/plugin-transform-modules-systemjs@npm:^7.27.1":
-  version: 7.27.1
-  resolution: "@babel/plugin-transform-modules-systemjs@npm:7.27.1"
+"@babel/plugin-transform-modules-systemjs@npm:^7.29.4":
+  version: 7.29.7
+  resolution: "@babel/plugin-transform-modules-systemjs@npm:7.29.7"
   dependencies:
-    "@babel/helper-module-transforms": "npm:^7.27.1"
-    "@babel/helper-plugin-utils": "npm:^7.27.1"
-    "@babel/helper-validator-identifier": "npm:^7.27.1"
-    "@babel/traverse": "npm:^7.27.1"
+    "@babel/helper-module-transforms": "npm:^7.29.7"
+    "@babel/helper-plugin-utils": "npm:^7.29.7"
+    "@babel/helper-validator-identifier": "npm:^7.29.7"
+    "@babel/traverse": "npm:^7.29.7"
   peerDependencies:
     "@babel/core": ^7.0.0-0
-  checksum: 10c0/f16fca62d144d9cbf558e7b5f83e13bb6d0f21fdeff3024b0cecd42ffdec0b4151461da42bd0963512783ece31aafa5ffe03446b4869220ddd095b24d414e2b5
+  checksum: 10c0/7b950bcc4a4b077b742b9299c8c9d4285e15854e23816d0b1c1177fafda4c153f3c3c4487c1b965afbf7a69a8788fc75656d0c591b91f0a5a543faabe738ca58
   languageName: node
   linkType: hard
 
@@ -1708,6 +1787,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/template@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/template@npm:7.29.7"
+  dependencies:
+    "@babel/code-frame": "npm:^7.29.7"
+    "@babel/parser": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+  checksum: 10c0/8bb7f900dcab0e9e1c5ffbc33ca10e0d26b7b2e2ca804becb73ee771b9c4ed6e2908a4ae4a14c08560febb45d2b6b9a173955e42ad404d05f8b04840a14d9c58
+  languageName: node
+  linkType: hard
+
 "@babel/traverse@npm:^7.25.9, @babel/traverse@npm:^7.27.1, @babel/traverse@npm:^7.27.3, @babel/traverse@npm:^7.27.7":
   version: 7.27.7
   resolution: "@babel/traverse@npm:7.27.7"
@@ -1723,6 +1813,21 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/traverse@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/traverse@npm:7.29.7"
+  dependencies:
+    "@babel/code-frame": "npm:^7.29.7"
+    "@babel/generator": "npm:^7.29.7"
+    "@babel/helper-globals": "npm:^7.29.7"
+    "@babel/parser": "npm:^7.29.7"
+    "@babel/template": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+    debug: "npm:^4.3.1"
+  checksum: 10c0/e256a1fbdb956555b76f3c285b1e453f6bedec8b3afb61751d99d933efd11c7d79caf5ddf2493570058a9f7deaa1b48324380d7c1aa1443fd9508becbf56331a
+  languageName: node
+  linkType: hard
+
 "@babel/types@npm:^7.21.3, @babel/types@npm:^7.27.1, @babel/types@npm:^7.27.3, @babel/types@npm:^7.27.6, @babel/types@npm:^7.27.7, @babel/types@npm:^7.4.4":
   version: 7.27.7
   resolution: "@babel/types@npm:7.27.7"
@@ -1733,18 +1838,28 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@biomejs/biome@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/biome@npm:2.0.6"
-  dependencies:
-    "@biomejs/cli-darwin-arm64": "npm:2.0.6"
-    "@biomejs/cli-darwin-x64": "npm:2.0.6"
-    "@biomejs/cli-linux-arm64": "npm:2.0.6"
-    "@biomejs/cli-linux-arm64-musl": "npm:2.0.6"
-    "@biomejs/cli-linux-x64": "npm:2.0.6"
-    "@biomejs/cli-linux-x64-musl": "npm:2.0.6"
-    "@biomejs/cli-win32-arm64": "npm:2.0.6"
-    "@biomejs/cli-win32-x64": "npm:2.0.6"
+"@babel/types@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/types@npm:7.29.7"
+  dependencies:
+    "@babel/helper-string-parser": "npm:^7.29.7"
+    "@babel/helper-validator-identifier": "npm:^7.29.7"
+  checksum: 10c0/b6623994c69717fa27294f5fa46d59140338e2d86c6c1c13085c84ef7d53086ee357fbf4fe9abe3dd3da75734dc77c4c0df2f90fb29e667558bb3b3fb705e88f
+  languageName: node
+  linkType: hard
+
+"@biomejs/biome@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/biome@npm:2.4.16"
+  dependencies:
+    "@biomejs/cli-darwin-arm64": "npm:2.4.16"
+    "@biomejs/cli-darwin-x64": "npm:2.4.16"
+    "@biomejs/cli-linux-arm64": "npm:2.4.16"
+    "@biomejs/cli-linux-arm64-musl": "npm:2.4.16"
+    "@biomejs/cli-linux-x64": "npm:2.4.16"
+    "@biomejs/cli-linux-x64-musl": "npm:2.4.16"
+    "@biomejs/cli-win32-arm64": "npm:2.4.16"
+    "@biomejs/cli-win32-x64": "npm:2.4.16"
   dependenciesMeta:
     "@biomejs/cli-darwin-arm64":
       optional: true
@@ -1764,112 +1879,77 @@ __metadata:
       optional: true
   bin:
     biome: bin/biome
-  checksum: 10c0/eafaf3981580314c08085542152396f3417637d08d7b8aaee6a5173a978435d7688b1b6b547096e3a9d3573f03cfe526f7342dd341143c322c03d545df126f18
+  checksum: 10c0/c52c4309daf241888b43912a43d1ba8bae7c2160751c33900088517da3e47d1428bb1c1f64f657efa5f42f5866e6400325b39fc41c3adf7cc7aa3f237f6fa286
   languageName: node
   linkType: hard
 
-"@biomejs/cli-darwin-arm64@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-darwin-arm64@npm:2.0.6"
+"@biomejs/cli-darwin-arm64@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-darwin-arm64@npm:2.4.16"
   conditions: os=darwin & cpu=arm64
   languageName: node
   linkType: hard
 
-"@biomejs/cli-darwin-x64@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-darwin-x64@npm:2.0.6"
+"@biomejs/cli-darwin-x64@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-darwin-x64@npm:2.4.16"
   conditions: os=darwin & cpu=x64
   languageName: node
   linkType: hard
 
-"@biomejs/cli-linux-arm64-musl@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-linux-arm64-musl@npm:2.0.6"
+"@biomejs/cli-linux-arm64-musl@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-linux-arm64-musl@npm:2.4.16"
   conditions: os=linux & cpu=arm64 & libc=musl
   languageName: node
   linkType: hard
 
-"@biomejs/cli-linux-arm64@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-linux-arm64@npm:2.0.6"
+"@biomejs/cli-linux-arm64@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-linux-arm64@npm:2.4.16"
   conditions: os=linux & cpu=arm64 & libc=glibc
   languageName: node
   linkType: hard
 
-"@biomejs/cli-linux-x64-musl@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-linux-x64-musl@npm:2.0.6"
+"@biomejs/cli-linux-x64-musl@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-linux-x64-musl@npm:2.4.16"
   conditions: os=linux & cpu=x64 & libc=musl
   languageName: node
   linkType: hard
 
-"@biomejs/cli-linux-x64@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-linux-x64@npm:2.0.6"
+"@biomejs/cli-linux-x64@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-linux-x64@npm:2.4.16"
   conditions: os=linux & cpu=x64 & libc=glibc
   languageName: node
   linkType: hard
 
-"@biomejs/cli-win32-arm64@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-win32-arm64@npm:2.0.6"
+"@biomejs/cli-win32-arm64@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-win32-arm64@npm:2.4.16"
   conditions: os=win32 & cpu=arm64
   languageName: node
   linkType: hard
 
-"@biomejs/cli-win32-x64@npm:2.0.6":
-  version: 2.0.6
-  resolution: "@biomejs/cli-win32-x64@npm:2.0.6"
+"@biomejs/cli-win32-x64@npm:2.4.16":
+  version: 2.4.16
+  resolution: "@biomejs/cli-win32-x64@npm:2.4.16"
   conditions: os=win32 & cpu=x64
   languageName: node
   linkType: hard
 
-"@braintree/sanitize-url@npm:^7.0.4":
-  version: 7.1.1
-  resolution: "@braintree/sanitize-url@npm:7.1.1"
-  checksum: 10c0/fdfc1759c4244e287693ce1e9d42d649423e7c203fdccf27a571f8951ddfe34baa5273b7e6a8dd3007d7676859c7a0a9819be0ab42a3505f8505ad0eefecf7c1
-  languageName: node
-  linkType: hard
-
-"@chevrotain/cst-dts-gen@npm:11.0.3":
-  version: 11.0.3
-  resolution: "@chevrotain/cst-dts-gen@npm:11.0.3"
-  dependencies:
-    "@chevrotain/gast": "npm:11.0.3"
-    "@chevrotain/types": "npm:11.0.3"
-    lodash-es: "npm:4.17.21"
-  checksum: 10c0/9e945a0611386e4e08af34c2d0b3af36c1af08f726b58145f11310f2aeafcb2d65264c06ec65a32df6b6a65771e6a55be70580c853afe3ceb51487e506967104
-  languageName: node
-  linkType: hard
-
-"@chevrotain/gast@npm:11.0.3":
-  version: 11.0.3
-  resolution: "@chevrotain/gast@npm:11.0.3"
-  dependencies:
-    "@chevrotain/types": "npm:11.0.3"
-    lodash-es: "npm:4.17.21"
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-  resolution: "@iconify/utils@npm:2.3.0"
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+  resolution: "@iconify/utils@npm:3.1.3"
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-    "@antfu/utils": "npm:^8.1.0"
+    "@antfu/install-pkg": "npm:^1.1.0"
     "@iconify/types": "npm:^2.0.0"
-    debug: "npm:^4.4.0"
-    globals: "npm:^15.14.0"
-    kolorist: "npm:^1.8.0"
-    local-pkg: "npm:^1.0.0"
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+  resolution: "@jridgewell/gen-mapping@npm:0.3.13"
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-  resolution: "@mermaid-js/parser@npm:0.5.0"
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-    "@types/react": "npm:19.1.8"
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   resolution: "imurmurhash@npm:0.1.4"
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+"katex@npm:^0.16.25":
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+  resolution: "katex@npm:0.16.47"
+  dependencies:
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+  languageName: node
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   resolution: "keyv@npm:4.5.4"
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+"lodash-es@npm:^4.18.1":
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+"lodash@npm:^4.18.1":
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+  resolution: "lodash@npm:4.18.1"
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-  resolution: "marked@npm:15.0.12"
+"marked@npm:^16.3.0":
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+  resolution: "marked@npm:16.4.2"
   bin:
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-  resolution: "mdast-util-to-hast@npm:13.2.0"
+"mdast-util-to-hast@npm:^13.2.1":
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+  resolution: "mdast-util-to-hast@npm:13.2.1"
   dependencies:
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     "@types/mdast": "npm:^4.0.0"
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     vfile: "npm:^6.0.0"
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-  resolution: "mermaid@npm:11.7.0"
+"mermaid@npm:^11.15.0":
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+  resolution: "mermaid@npm:11.15.0"
   dependencies:
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-    "@iconify/utils": "npm:^2.1.33"
-    "@mermaid-js/parser": "npm:^0.5.0"
+    "@braintree/sanitize-url": "npm:^7.1.1"
+    "@iconify/utils": "npm:^3.0.2"
+    "@mermaid-js/parser": "npm:^1.1.1"
     "@types/d3": "npm:^7.4.3"
-    cytoscape: "npm:^3.29.3"
+    "@upsetjs/venn.js": "npm:^2.0.0"
+    cytoscape: "npm:^3.33.1"
     cytoscape-cose-bilkent: "npm:^4.1.0"
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     d3: "npm:^7.9.0"
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-    dayjs: "npm:^1.11.13"
-    dompurify: "npm:^3.2.5"
-    katex: "npm:^0.16.9"
+    dagre-d3-es: "npm:7.0.14"
+    dayjs: "npm:^1.11.19"
+    dompurify: "npm:^3.3.1"
+    es-toolkit: "npm:^1.45.1"
+    katex: "npm:^0.16.25"
     khroma: "npm:^2.1.0"
-    lodash-es: "npm:^4.17.21"
-    marked: "npm:^15.0.7"
+    marked: "npm:^16.3.0"
     roughjs: "npm:^4.6.6"
     stylis: "npm:^4.3.6"
     ts-dedent: "npm:^2.2.0"
-    uuid: "npm:^11.1.0"
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+    uuid: "npm:^11.1.0 || ^12 || ^13 || ^14.0.0"
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-  version: 1.7.4
-  resolution: "mlly@npm:1.7.4"
+"minizlib@npm:^3.1.0":
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+  resolution: "minizlib@npm:3.1.0"
   dependencies:
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-    pathe: "npm:^2.0.1"
-    pkg-types: "npm:^1.3.0"
-    ufo: "npm:^1.5.4"
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+    minipass: "npm:^7.1.2"
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-"nanoid@npm:^3.3.11":
-  version: 3.3.11
-  resolution: "nanoid@npm:3.3.11"
+"nanoid@npm:^3.3.12":
+  version: 3.3.12
+  resolution: "nanoid@npm:3.3.12"
   bin:
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-  checksum: 10c0/40e7f70b3d15f725ca072dfc4f74e81fcf1fbb02e491cf58ac0c79093adc9b0a73b152bcde57df4b79cd097e13023d7504acb38404a4da7bc1cd8e887b82fe0b
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-"postcss@npm:^8.4.21, postcss@npm:^8.4.24, postcss@npm:^8.4.33, postcss@npm:^8.5.4":
-  version: 8.5.6
-  resolution: "postcss@npm:8.5.6"
+"postcss@npm:^8.5.10":
+  version: 8.5.15
+  resolution: "postcss@npm:8.5.15"
   dependencies:
-    nanoid: "npm:^3.3.11"
+    nanoid: "npm:^3.3.12"
     picocolors: "npm:^1.1.1"
     source-map-js: "npm:^1.2.1"
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-  resolution: "quansync@npm:0.2.10"
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-  resolution: "randombytes@npm:2.1.0"
-  dependencies:
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-"safe-buffer@npm:5.2.1, safe-buffer@npm:>=5.1.0, safe-buffer@npm:^5.1.0, safe-buffer@npm:~5.2.0":
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@@ -13785,6 +13786,13 @@ __metadata:
   languageName: node
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+"sax@npm:^1.5.0":
+  version: 1.6.0
+  resolution: "sax@npm:1.6.0"
+  checksum: 10c0/e5593f4a91eb25761a688c4d96902e4e95a0dd6017bc65146b6f21236e3d715cf893333b76bc758923c9574c2fb5a7a76c3a81e96ea15432f2624f906c027c1e
+  languageName: node
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+
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   resolution: "scheduler@npm:0.26.0"
@@ -13916,12 +13924,10 @@ __metadata:
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-"serialize-javascript@npm:^6.0.0, serialize-javascript@npm:^6.0.1, serialize-javascript@npm:^6.0.2":
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-  resolution: "serialize-javascript@npm:6.0.2"
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+"serialize-javascript@npm:^7.0.5":
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+  resolution: "serialize-javascript@npm:7.0.5"
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-"sprintf-js@npm:^1.1.3":
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-  resolution: "sprintf-js@npm:1.1.3"
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-  languageName: node
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-
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@@ -14506,20 +14505,20 @@ __metadata:
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-"svgo@npm:^3.0.2, svgo@npm:^3.2.0":
-  version: 3.3.2
-  resolution: "svgo@npm:3.3.2"
+"svgo@npm:^3.3.3":
+  version: 3.3.3
+  resolution: "svgo@npm:3.3.3"
   dependencies:
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     commander: "npm:^7.2.0"
     css-select: "npm:^5.1.0"
     css-tree: "npm:^2.3.1"
     css-what: "npm:^6.1.0"
     csso: "npm:^5.0.5"
     picocolors: "npm:^1.0.0"
+    sax: "npm:^1.5.0"
   bin:
     svgo: ./bin/svgo
-  checksum: 10c0/a6badbd3d1d6dbb177f872787699ab34320b990d12e20798ecae915f0008796a0f3c69164f1485c9def399e0ce0a5683eb4a8045e51a5e1c364bb13a0d9f79e1
+  checksum: 10c0/06568c6b0430f96748c557f0b17dc7de79b19fa16d13d7523527ede0ec727fc6d8e6a10e13ff106dc4372d2e6063a1dca7c455c495efb1b83857480425f9b965
   languageName: node
   linkType: hard
 
@@ -14549,17 +14548,16 @@ __metadata:
   languageName: node
   linkType: hard
 
-"tar@npm:^7.4.3":
-  version: 7.4.3
-  resolution: "tar@npm:7.4.3"
+"tar@npm:^7.5.11":
+  version: 7.5.16
+  resolution: "tar@npm:7.5.16"
   dependencies:
     "@isaacs/fs-minipass": "npm:^4.0.0"
     chownr: "npm:^3.0.0"
     minipass: "npm:^7.1.2"
-    minizlib: "npm:^3.0.1"
-    mkdirp: "npm:^3.0.1"
+    minizlib: "npm:^3.1.0"
     yallist: "npm:^5.0.0"
-  checksum: 10c0/d4679609bb2a9b48eeaf84632b6d844128d2412b95b6de07d53d8ee8baf4ca0857c9331dfa510390a0727b550fd543d4d1a10995ad86cdf078423fbb8d99831d
+  checksum: 10c0/4f37f3c4bd2ca2755fd736a5df1d573c1a868ec1b1e893346aeafa95ac510f9e2fd1469420bd866cc7904799e5bd4ac62b5d4f03fe27747d6e1e373b44505c5c
   languageName: node
   linkType: hard
 
@@ -14828,13 +14826,6 @@ __metadata:
   languageName: node
   linkType: hard
 
-"ufo@npm:^1.5.4":
-  version: 1.6.1
-  resolution: "ufo@npm:1.6.1"
-  checksum: 10c0/5a9f041e5945fba7c189d5410508cbcbefef80b253ed29aa2e1f8a2b86f4bd51af44ee18d4485e6d3468c92be9bf4a42e3a2b72dcaf27ce39ce947ec994f1e6b
-  languageName: node
-  linkType: hard
-
 "undici-types@npm:~7.8.0":
   version: 7.8.0
   resolution: "undici-types@npm:7.8.0"
@@ -15117,12 +15108,12 @@ __metadata:
   languageName: node
   linkType: hard
 
-"uuid@npm:^11.1.0":
-  version: 11.1.0
-  resolution: "uuid@npm:11.1.0"
+"uuid@npm:^11.1.0 || ^12 || ^13 || ^14.0.0":
+  version: 14.0.0
+  resolution: "uuid@npm:14.0.0"
   bin:
-    uuid: dist/esm/bin/uuid
-  checksum: 10c0/34aa51b9874ae398c2b799c88a127701408cd581ee89ec3baa53509dd8728cbb25826f2a038f9465f8b7be446f0fbf11558862965b18d21c993684297628d4d3
+    uuid: dist-node/bin/uuid
+  checksum: 10c0/a57ae7794c45005c1a9208989196c5baf79a7679c30f43c1bee9033a2c4d113a2cea216fa6fcc9663b08b0d55635df1a7c6eb7e7f3d21c3e50688c698fa39a50
   languageName: node
   linkType: hard
 
@@ -15179,55 +15170,6 @@ __metadata:
   languageName: node
   linkType: hard
 
-"vscode-jsonrpc@npm:8.2.0":
-  version: 8.2.0
-  resolution: "vscode-jsonrpc@npm:8.2.0"
-  checksum: 10c0/0789c227057a844f5ead55c84679206227a639b9fb76e881185053abc4e9848aa487245966cc2393fcb342c4541241b015a1a2559fddd20ac1e68945c95344e6
-  languageName: node
-  linkType: hard
-
-"vscode-languageserver-protocol@npm:3.17.5":
-  version: 3.17.5
-  resolution: "vscode-languageserver-protocol@npm:3.17.5"
-  dependencies:
-    vscode-jsonrpc: "npm:8.2.0"
-    vscode-languageserver-types: "npm:3.17.5"
-  checksum: 10c0/5f38fd80da9868d706eaa4a025f4aff9c3faad34646bcde1426f915cbd8d7e8b6c3755ce3fef6eebd256ba3145426af1085305f8a76e34276d2e95aaf339a90b
-  languageName: node
-  linkType: hard
-
-"vscode-languageserver-textdocument@npm:~1.0.11":
-  version: 1.0.12
-  resolution: "vscode-languageserver-textdocument@npm:1.0.12"
-  checksum: 10c0/534349894b059602c4d97615a1147b6c4c031141c2093e59657f54e38570f5989c21b376836f13b9375419869242e9efb4066643208b21ab1e1dee111a0f00fb
-  languageName: node
-  linkType: hard
-
-"vscode-languageserver-types@npm:3.17.5":
-  version: 3.17.5
-  resolution: "vscode-languageserver-types@npm:3.17.5"
-  checksum: 10c0/1e1260de79a2cc8de3e46f2e0182cdc94a7eddab487db5a3bd4ee716f67728e685852707d72c059721ce500447be9a46764a04f0611e94e4321ffa088eef36f8
-  languageName: node
-  linkType: hard
-
-"vscode-languageserver@npm:~9.0.1":
-  version: 9.0.1
-  resolution: "vscode-languageserver@npm:9.0.1"
-  dependencies:
-    vscode-languageserver-protocol: "npm:3.17.5"
-  bin:
-    installServerIntoExtension: bin/installServerIntoExtension
-  checksum: 10c0/8a0838d77c98a211c76e54bd3a6249fc877e4e1a73322673fb0e921168d8e91de4f170f1d4ff7e8b6289d0698207afc6aba6662d4c1cd8e4bd7cae96afd6b0c2
-  languageName: node
-  linkType: hard
-
-"vscode-uri@npm:~3.0.8":
-  version: 3.0.8
-  resolution: "vscode-uri@npm:3.0.8"
-  checksum: 10c0/f7f217f526bf109589969fe6e66b71e70b937de1385a1d7bb577ca3ee7c5e820d3856a86e9ff2fa9b7a0bc56a3dd8c3a9a557d3fedd7df414bc618d5e6b567f9
-  languageName: node
-  linkType: hard
-
 "watchpack@npm:^2.5.1":
   version: 2.5.1
   resolution: "watchpack@npm:2.5.1"