Fix push version and latest step to ACR (#2984)

.github/workflows/release.yml

@@ -318,7 +318,7 @@ jobs:
           fi
 
       - name: Push version and latest image
-        if: ${{ github.event.inputs.release_type != 'Dry Run' }}
+        if: ${{ github.event.inputs.release_type != 'Dry Run' && matrix.origin_docker_repo == 'bitwardenprod.azurecr.io' }}
         env:
           PROJECT_NAME: ${{ steps.setup.outputs.project_name }}
           REGISTRY: bitwardenprod.azurecr.io