add github pages build

Author: jtpio

.github/workflows/build.yml

@@ -2,9 +2,9 @@ name: Build
 
 on:
   push:
-    branches: main
+    branches: [main]
   pull_request:
-    branches: '*'
+    branches: ['*']
 
 concurrency:
   group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}
@@ -54,6 +54,47 @@ jobs:
         path: dist/jupyterlab_hybrid_kernels*
         if-no-files-found: error
 
+  build_lite:
+    runs-on: ubuntu-latest
+    needs: build
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+      - name: Setup Python
+        uses: actions/setup-python@v5
+        with:
+          python-version: '3.11'
+      - uses: actions/download-artifact@v4
+        with:
+          name: extension-artifacts
+      - name: Install the dependencies
+        run: |
+          python -m pip install --pre jupyterlite-core jupyterlite-pyodide-kernel jupyterlab_hybrid_kernels*.whl
+      - name: Build the JupyterLite site
+        run: |
+          jupyter lite build --output-dir dist
+      - name: Upload artifact
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: ./dist
+
+  deploy_lite:
+    needs: build_lite
+    if: github.ref == 'refs/heads/main'
+    permissions:
+      pages: write
+      id-token: write
+
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+
+    runs-on: ubuntu-latest
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4
+
   test_isolated:
     needs: build
     runs-on: ubuntu-latest