feat(docs): Update authentication documentation

This commit updates the authentication documentation to clarify the use of Workload Identity Federation and Gemini Code Assist.

The following changes are included:

- Added  and  to the list of required variables for Workload Identity Federation.
- Updated the workflow configuration examples to use the new variables.
- Improved the clarity and consistency of the documentation.

Author: jerop

docs/authentication.md

@@ -148,20 +148,23 @@ After running the `setup_workload_identity.sh` script, add the following variabl
 | Variable Name               | Description                                          |
 | --------------------------- | ---------------------------------------------------- |
 | `GCP_WIF_PROVIDER`          | The resource name of the Workload Identity Provider. |
+| `SERVICE_ACCOUNT_EMAIL`     | The service account with the required permissions.   |
 | `GOOGLE_CLOUD_PROJECT`      | Your Google Cloud project ID.                        |
 | `GOOGLE_CLOUD_LOCATION`     | Your Google Cloud project Location.                  |
 | `GOOGLE_GENAI_USE_VERTEXAI` | Set to `true` to use Vertex AI.                      |
+| `GOOGLE_GENAI_USE_GCA`      | Set to `true` to use Gemini Code Assist.             |
 
 #### Workflow Configuration Example
 
 ```yaml
 - uses: google-github-actions/run-gemini-cli@main
   with:
-    prompt: "Explain this code"
-    gcp_workload_identity_provider: ${{ vars.GCP_WIF_PROVIDER }}
-    gcp_project_id: ${{ vars.GOOGLE_CLOUD_PROJECT }}
-    gcp_location: ${{ vars.GOOGLE_CLOUD_LOCATION }}
-    use_vertex_ai: 'true'
+    prompt: 'Explain this code'
+    gcp_workload_identity_provider: '${{ vars.GCP_WIF_PROVIDER }}'
+    gcp_service_account: '${{ vars.SERVICE_ACCOUNT_EMAIL }}'
+    gcp_project_id: '${{ vars.GOOGLE_CLOUD_PROJECT }}'
+    gcp_location: '${{ vars.GOOGLE_CLOUD_LOCATION }}'
+    use_vertex_ai: '${{ vars.GOOGLE_GENAI_USE_VERTEXAI }}'
 ```
 
 ### Connecting to Gemini Code Assist
@@ -188,11 +191,11 @@ After running the `setup_workload_identity.sh` script, add the following variabl
 ```yaml
 - uses: google-github-actions/run-gemini-cli@main
   with:
-    prompt: "Explain this code"
-    gcp_workload_identity_provider: ${{ vars.GCP_WIF_PROVIDER }}
-    gcp_project_id: ${{ vars.GOOGLE_CLOUD_PROJECT }}
-    gcp_service_account: ${{ vars.SERVICE_ACCOUNT_EMAIL }}
-    use_gemini_code_assist: 'true'
+    prompt: 'Explain this code'
+    gcp_workload_identity_provider: '${{ vars.GCP_WIF_PROVIDER }}'
+    gcp_service_account: '${{ vars.SERVICE_ACCOUNT_EMAIL }}'
+    gcp_project_id: '${{ vars.GOOGLE_CLOUD_PROJECT }}'
+    use_gemini_code_assist: '${{ vars.GOOGLE_GENAI_USE_GCA }}'
 ```
 
 ## Additional Resources