I'm sure you can already do some kind of scripting + LLMs without necessarily needing this at your work though, no?

Email is stored in your device somewhere, you could just get its content sent to your preferred agent, you can use one of the many mobile clients if you rather interact through that kind of UX (like self hosted hapi.run + tailscale for example), and you could setup a cronjob or something like it on your machine to do it based on whatever interval. This is just one way I personally could go about it, YMMV obviously.

Is there a specific reason why you will not do something like that for example?