deploy as separate job

.github/workflows/publish-to-gh-pages.yml

@@ -5,7 +5,7 @@ on:
     branches: [ master, publish-gh-pages ]
 
 jobs:
-  deploy:
+  build:
     runs-on: ubuntu-latest
     strategy:
       matrix:
@@ -30,4 +30,26 @@ jobs:
         python -m pip install -U virtualenv
         python -m virtualenv .venv
         python -m pip install .
-        make github
+        make publish
+    - name: Upload Artifact
+      uses: actions/upload-pages-artifact@v3.0.1
+      with:
+        path: "./output"
+
+  deploy:
+    runs-on: ubuntu-latest
+    needs: build
+
+    permissions:
+      pages: write
+      id-token: write
+
+    environment:
+      # environment created automatically by GitHub
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4.0.5