ci: Add GitHub Workflow to build and publish documentation

.github/workflows/build-doxygen.yml

@@ -0,0 +1,71 @@
+name: Build and Publish
+
+on:
+  # Allows running this workflow manually from the Actions tab
+  workflow_dispatch:
+    inputs:
+      version:
+        description: "Version of Slicer documentation to build and publish"
+        required: true
+
+jobs:
+  build-and-publish:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Collect Inputs
+        id: collect_inputs
+        run: |
+          echo "EVENT_NAME [$EVENT_NAME]"
+          if [[ "$EVENT_NAME" == "workflow_dispatch" ]]; then
+            version=${{ github.event.inputs.version }}
+          else
+            echo "::error ::Unsupported EVENT_NAME [$EVENT_NAME]"
+            exit 1
+          fi
+          echo "version=$version" >> $GITHUB_OUTPUT
+        env:
+          EVENT_NAME: ${{ github.event_name }}
+
+      - uses: actions/checkout@v4
+        with:
+          ref: gh-pages
+          path: gh-pages
+
+      - uses: actions/checkout@v4
+        with:
+          repository: jcfr/Slicer
+          path: Slicer
+          ref: speedup-doxygen-generation # ${{ steps.collect_inputs.outputs.version }}
+
+      - uses: ssciwr/doxygen-install@v1
+        with:
+          version: "1.10.0"
+
+      # The "dot" binary is provided by Graphviz
+      - name: Setup Graphviz
+        uses: ts-graphviz/setup-graphviz@v2
+
+      - uses: actions/checkout@v4
+        with:
+          repository: Slicer/slicer-apidocs-builder
+          path: slicer-apidocs-builder
+          ref: 1744509e91fa66186d34e4c6968ee684131c51d1
+
+      - uses: actions/setup-python@v5
+        with:
+          python-version: '3.13'
+          cache: 'pip'
+
+      - name: Install slicer-apidocs-builder
+        run: |
+         pip install ./slicer-apidocs-builder
+
+      - name: Build
+        run: |
+          slicer-apidocs-builder \
+            --slicer-repo-dir Slicer \
+            --slicer-repo-branch $SLICER_BRANCH \
+            --skip-publish
+        env:
+          SLICER_BRANCH: speedup-doxygen-generation # ${{ steps.collect_inputs.outputs.version }}
+