fix: set correct github pages uploading

.github/workflows/build-documentation.yml

@@ -1,11 +1,11 @@
-name: Build Doxygen
+name: Build Docfx Documentation
 
 on:
+  pull_request:
+    types: [opened, synchronize, reopened, closed]
   push:
     branches:
       - main
-  pull_request:
-    types: [opened, synchronize, reopened, closed]
 
 # Sets permissions of the GITHUB_TOKEN to allow deployment to GitHub Pages
 permissions:
@@ -20,8 +20,8 @@ concurrency:
   cancel-in-progress: false
 
 jobs:
-  build-doxygen:
-    name: Build Doxygen
+  build-docfx:
+    name: Build Docfx
     runs-on: ubuntu-latest
     permissions: write-all
     steps:
@@ -35,12 +35,20 @@ jobs:
           dotnet-version: 8.x
       - run: dotnet tool update -g docfx
       - run: docfx docfx.json
-      - name: Upload artifact
-        uses: actions/upload-artifact@v4
+      # - name: Upload artifact
+      #   uses: actions/upload-artifact@v4
+      #   with:
+      #     path: _site
+      # - name: Deploy to GitHub Pages
+      #   uses: actions/deploy-pages@v4
+
+      - name: Upload Docfx Documentation to Github Pages
+        uses: peaceiris/actions-gh-pages@v4
         with:
-          path: _site
-      - name: Deploy to GitHub Pages
-        uses: actions/deploy-pages@v4
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          publish_branch: gh-pages
+          publish_dir: _site
+
       # - name: Install Doxygen
       #   run: |
       #     sudo apt-get install -y graphviz