ci: try publish pages with official action

.github/workflows/documentation.yml

@@ -10,12 +10,9 @@ on:
     paths:
       - docs/**
 
-permissions:
-  contents: write
-
 jobs:
-  deploy:
-    name: Deploy Documentation
+  build:
+    name: Build
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
@@ -37,15 +34,30 @@ jobs:
           pnpm i
           pnpm build
 
-      # Popular action to deploy to GitHub Pages:
-      # Docs: https://github.com/peaceiris/actions-gh-pages#%EF%B8%8F-docusaurus
-      - name: Deploy to GitHub Pages
-        uses: peaceiris/actions-gh-pages@v3
-        if: github.event_name == 'push' # && github.ref == 'refs/heads/main'
+      - name: Upload static files as artifact
+        id: deployment
+        uses: actions/upload-pages-artifact@v3 # or specific "vX.X.X" version tag for this action
         with:
-          github_token: ${{ secrets.GITHUB_TOKEN }}
-          # Build output to publish to the `gh-pages` branch:
-          publish_dir: ./docs/build
-          # Assign commit authorship to the official GH-Actions bot
-          user_name: github-actions[bot]
-          user_email: github-actions[bot]@users.noreply.github.com
+          path: ./docs/build
+
+  # Deploy job
+  deploy:
+    # Add a dependency to the build job
+    needs: build
+
+    # Grant GITHUB_TOKEN the permissions required to make a Pages deployment
+    permissions:
+      pages: write # to deploy to Pages
+      id-token: write # to verify the deployment originates from an appropriate source
+
+    # Deploy to the github-pages environment
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+
+    # Specify runner + deployment step
+    runs-on: ubuntu-latest
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4 # or specific "vX.X.X" version tag for this action