Project ID ignored in 0.7.0 about deploy-cloudrun HOT 4 CLOSED

name: Build, Publish and Deploy to Cloud Run

on:
  push:
    branches:
      - master
  pull_request:
    branches: 
      - master      

env:  
  GCP_CLOUD_RUN_SERVICE: <my-cloud-run-service-name>
  GCP_REGION: <my-region>
  GCP_ARTIFACT_REGISTRY_REPOSITORY: <my-registry-repo>
  GCP_ARTIFACT_REGISTRY_IMAGE: <my-registry-image>
  GCP_BUILD_TOOLS_PROJECT_ID: ${{ secrets.GCP_BUILD_TOOLS_PROJECT_ID }}
  GCP_CLOUD_RUN_PROJECT_ID: ${{ secrets.GCP_CLOUD_RUN_PROJECT_ID }}

permissions:
  contents: "read"
  id-token: "write"

jobs:
  build-publish:
    name: Build & Publish
    runs-on: ubuntu-latest    
    steps:
      ....

  deploy:
    name: Deploy
    runs-on: ubuntu-latest    
    needs: build-publish
    steps:
      - id: "auth"
        name: "Authenticate to Google Cloud"
        uses: "google-github-actions/auth@v0"
        with:
          workload_identity_provider: ${{ secrets.GCP_WORKLOAD_IDENTITY_PROVIDER }}
          service_account: ${{ secrets.GCP_SERVICE_ACCOUNT_EMAIL }}
          token_format: "access_token"    
      # Deploy the Docker image to Cloud Run
      - name: Deploy to Cloud Run
        id: deploy
        uses: google-github-actions/[email protected]
        with:
          service: ${{ env.GCP_CLOUD_RUN_SERVICE }}
          image: "${{ env.GCP_REGION }}-docker.pkg.dev/${{ env.GCP_BUILD_TOOLS_PROJECT_ID }}/${{ env.GCP_ARTIFACT_REGISTRY_REPOSITORY }}/${{ env.GCP_ARTIFACT_REGISTRY_IMAGE }}:${{ github.sha }}"
          region: ${{ env.GCP_REGION }}
          project_id: ${{ env.GCP_CLOUD_RUN_PROJECT_ID }}
      - name: Show Output
        run: echo ${{ steps.deploy.outputs.url }}