The first rule of AI club is you do not talk about personal AI projects at work.

- Don't do any of it on work equipment, otherwise your employer may own your works. Do you like being sued?

- Don't discuss it with people at work, otherwise your employer may own your works because: time and IP. Do you like being sued?

Keep your mouth shut, use your own equipment and probably even network (eg: cell) and you should be fine. Or do you like being sued?

I would imagine it is similar to running an AirBnB and answering a guest's message during work hours. Just don't be obvious about it and don't let it interfere with your main job.