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?

Mixed feelings here, if she is a researcher then I guess part of her research should be explore this in some level of depth with real stakes. Though this does make it seem like that was not what she was doing there.

That kind of explains why Meta's AI effort has been going so well for the past year.