Add Doxygen Github Action to generate docs

.github/workflows/doc-publish.yml

@@ -29,4 +29,4 @@ jobs:
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
           publish_dir: docs
-          force_orphan: true
+          destination_dir: docs/sphinx

.github/workflows/doxygen.yml

@@ -0,0 +1,29 @@
+name: Build and Deploy Doxygen Documentation
+
+on: [push, pull_request]
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    permissions:
+      contents: write
+    defaults:
+      run:
+        working-directory: ./doc
+    steps:
+    - name: Checkout code
+      uses: actions/checkout@v4
+
+    - name: Install doxygen
+      run: sudo apt-get install doxygen
+
+    - name: Run doxygen
+      run: doxygen Doxyfile
+
+    - name: Deploy to GitHub Pages
+      uses: peaceiris/actions-gh-pages@v4
+      with:
+        github_token: ${{ secrets.GITHUB_TOKEN }}
+        publish_dir: doc/doxygenOut/html
+        destination_dir: docs/doxygen
+        keep_files: true