An Envoyer Project For Each Project Stage

I'm working on a project with a development, staging and production stages. Each stage has a different server and different environment variables (different APP_ENV, APP_URL, DB_HOST, etc).

I can add multiple servers to my Envoyer project, but it seems like I can't manage a different environment for each of them (I can sync the environment to a different server on each update, but there's still one environment in the Envoyer project).

Should I create a different project for each stage and set my deployment hooks on each project (which doesn't seem ideal), or is there a better approach?