Doxygen Auto Build and Deploy (#417)

* add Doxygen build and Github Pages deploy workflow

* Fixed typo in Workflow

* Rename docs.yml

* Rename doxygen_ci_workflow.yml

.github/workflows/deploy_doxygen_ci_workflow.yml

@@ -0,0 +1,32 @@
+name: Build and Deploy Doxygen Docs
+
+on:
+  push:
+    branches: [main]
+  pull_request:
+    branches: [main]
+
+permissions:
+  contents: write
+
+jobs:
+  docs:
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+      - name: Install Doxygen
+        run: sudo apt-get install -y doxygen graphviz
+
+      - name: Build Doxygen documentation
+        run: doxygen Doxyfile
+
+      - name: Deploy to GitHub Pages
+        if: github.ref == 'refs/heads/main' && github.event_name == 'push'
+        uses: peaceiris/actions-gh-pages@v4
+        with:
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          publish_dir: ./doc/html
+          publish_branch: gh-pages