why not an actual inbox? set up a gmail and have the agent email you?
In our case, we wanted to borrow the UX of email (to be intuitive to knowledge workers) but not necessarily the implementation.
Full control of your data was a design principle from the beginning, including being able to run fully offline with local models, so we didn’t want to add a dependency on email.
With that said, you can certainly hook up an MCP server and have the agents read and send emails (with human-in-the-loop approval) on your behalf.