Adjust workflow to better match gh-pages deploy examples

Author: eteq

.github/workflows/build_pages.yml

@@ -12,7 +12,7 @@ permissions: {}
 
 jobs:
   # Build job
-  build:
+  build-sphinx:
     runs-on: ubuntu-latest
     permissions:
       contents: read
@@ -37,11 +37,10 @@ jobs:
       - name: Upload distribution artifacts
         uses: actions/upload-pages-artifact@v5
         with:
-          name: sphinx-html-site
           path: _build/html/
 
-  deploy:
-    needs: build
+  deploy-pages:
+    needs: build-sphinx
     if: ${{ github.ref == 'refs/heads/main' }}
 
     # Grant GITHUB_TOKEN the permissions required to make a Pages deployment
@@ -60,5 +59,3 @@ jobs:
       - name: Deploy to GitHub Pages
         id: deployment
         uses: actions/deploy-pages@v4 # or specific "vX.X.X" version tag for this action
-        with:
-          artifact-name: "sphinx-html-site"