chore: finalize workflow for merging

.github/workflows/publish.yml

@@ -34,6 +34,38 @@ jobs:
       PYQUIL_TAG_VERSION: ${{ steps.publish.outputs.PYQUIL_TAG_VERSION }}
       PYQUIL_TAG_LATEST: ${{ steps.publish.outputs.PYQUIL_TAG_LATEST }}
       PYQUIL_TAG_RC: ${{ steps.publish.outputs.PYQUIL_TAG_RC }}
+
+  build-publish-grpc-web:
+    name: Build and Publish (pyquil-grpc-web)
+    runs-on: ubuntu-latest
+    permissions:
+      id-token: write
+      contents: read
+    steps:
+    - uses: actions/checkout@v3
+    - uses: actions/setup-python@v3
+    - uses: snok/install-poetry@v1
+      with:
+        virtualenvs-in-project: true
+    - name: Patch package metadata for grpc-web
+      run: |
+        pip install toml
+        python scripts/ci_publish_grpc_web.py
+    - name: Poetry Build
+      run: |
+        poetry build --no-interaction
+    - name: Upload wheels as artifacts
+      uses: actions/upload-artifact@v2 
+      with: 
+        name: wheels
+        path: dist
+    - name: Mint token
+      id: mint
+      uses: tschm/token-mint-action@v1.0.3
+    - name: Publish the package with poetry
+      run: |
+        poetry publish -u __token__ -p '${{ steps.mint.outputs.api-token }}'
+
   docker-publish:
     name: Docker Publish
     runs-on: ubuntu-latest