Custom domain pointing to latest tag in repo

I currently have a custom domain set up to point to my **master** branch. I would also like to have a consistent staging environment URL, but having a long-lived **staging** branch would introduce unnecessary overhead to our development process. The way I have done this in non-Amplify projects is to have the production environment be a deployment of the latest tag in the repo. This would then leave me free to make the **master** branch a pre-production staging environment with a consistent URL.

I would like an option to set my custom domain to point to a build of the latest tag in the repo. Would this be possible?