I want to setup a connection (without writing code) between Google Cloud Artifact Registry and Cloud Run. So on every push, I want to create/update a service on Cloud Run with the same name.
Is this possible?
No, you can't. The system that push the image must just after trigger the deployment of a new Cloud Run revision, with the new image. the latest tag if you want.
Nothing automatic is possible on a push event on Artifact registry.