diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index a3b706a..cedffa2 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -1,6 +1,6 @@
 name: setuptools-dso
 
-on: [push, pull_request]
+on: [push, pull_request, workflow_dispatch]
 
 defaults:
   run:
@@ -14,7 +14,7 @@ jobs:
       fail-fast: false
       matrix:
         os: ["ubuntu-latest", "windows-latest", "macos-latest"]
-        python-version: ["3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11", "3.x"]
+        python-version: ["3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11", "3.12", "3.x"]
         exclude:
           # missing Microsoft Visual C++ 14.0
           - os: windows-latest
@@ -158,7 +158,7 @@ jobs:
       matrix:
         manylinux: ["manylinux1", "manylinux2010", "manylinux2014"]
         piparch: ["i686", "x86_64"]
-        pyver: ["cp27-cp27m", "cp27-cp27mu", "cp36-cp36m", "cp37-cp37m", "cp38-cp38", "cp39-cp39", "cp310-cp310", "cp311-cp311"]
+        pyver: ["cp27-cp27m", "cp27-cp27mu", "cp36-cp36m", "cp37-cp37m", "cp38-cp38", "cp39-cp39", "cp310-cp310", "cp311-cp311", "cp312-cp312"]
         exclude:
           # manylinux1 doesn't include py >= 3.10
           - manylinux: "manylinux1"
@@ -177,6 +177,14 @@ jobs:
             piparch: "x86_64"
             pyver: "cp311-cp311"
 
+          - manylinux: "manylinux1"
+            piparch: "i686"
+            pyver: "cp312-cp312"
+
+          - manylinux: "manylinux1"
+            piparch: "x86_64"
+            pyver: "cp312-cp312"
+
           # manylinux2010 and above don't provide 2.7 in images
           - manylinux: "manylinux2010"
             piparch: "i686"
@@ -218,6 +226,14 @@ jobs:
           - manylinux: "manylinux2010"
             piparch: "x86_64"
             pyver: "cp311-cp311"
+
+          - manylinux: "manylinux2010"
+            piparch: "i686"
+            pyver: "cp312-cp312"
+
+          - manylinux: "manylinux2010"
+            piparch: "x86_64"
+            pyver: "cp312-cp312"
     steps:
       - uses: actions/checkout@v3
       - name: Test