Revert "remove building step when pushed to main, only deploy documentation"

.github/workflows/CI.yaml

@@ -1,6 +1,8 @@
-name: CI
+name: Audio CI
 
 on:
+  push:
+    branches: [main]
   pull_request:
     branches: [main]
 
@@ -51,7 +53,7 @@ jobs:
             !build/_deps/juce-*/
 
       - name: Upload build artifact
-        if: matrix.os == 'ubuntu-latest'
+        if: matrix.os == 'ubuntu-latest' && github.ref == 'refs/heads/main' && github.event_name == 'push'
         uses: actions/upload-artifact@v4
         with:
           name: doxygen-docs
@@ -85,3 +87,20 @@ jobs:
 
       - name: Run Tests
         run: ctest --preset Release
+
+  deploy:
+    if: github.ref == 'refs/heads/main' && github.event_name == 'push'
+    needs: test
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Download Doxygen Artifacts
+        uses: actions/download-artifact@v4
+        with:
+          name: doxygen-docs
+
+      - name: Deploy to GitHub Pages
+        uses: peaceiris/actions-gh-pages@v3
+        with:
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          publish_dir: .