Add CI check to install with homebrew on macos

.github/workflows/build.yml

@@ -167,6 +167,41 @@ jobs:
           jupyter notebook --version
           jupyter notebook --help
 
+  install-brew:
+    needs: [build]
+    runs-on: macos-latest
+    timeout-minutes: 15
+    steps:
+      - name: Install Python with Homebrew
+        run: |
+          brew install python
+      - uses: actions/download-artifact@v3
+        with:
+          name: notebook-dist-${{ github.run_number }}
+          path: ./dist
+      - name: Install the prerequisites
+        run: |
+          python3 -m pip install -U pip wheel
+      - name: Install the package
+        run: |
+          cd dist
+          python3 -m pip install -vv notebook*.whl
+      - name: Validate environment
+        run: |
+          python3 -m pip freeze
+          python3 -m pip check
+      - name: Validate the install
+        run: |
+          jupyter labextension list
+          jupyter labextension list 2>&1 | grep -ie "@jupyter-notebook/lab-extension.*enabled.*ok" -
+          jupyter server extension list
+          jupyter server extension list 2>&1 | grep -ie "notebook.*enabled" -
+          jupyter notebook --version
+          jupyter notebook --help
+      - name: Browser check
+        run: |
+          python3 -m jupyterlab.browser_check --BrowserApp.default_url='/tree'
+
   check_links:
     runs-on: ubuntu-latest
     timeout-minutes: 10