Saving Terminal command history per project

I've been using IDEA's Terminal tab for years, and I often struggle to find back specific commands I used for a particular project.
In these cases I just go look for them in bash history.

But I just realized opening a Terminal from within IDEA that it could be the best place to save an history of commands on a per project basis.

I think that'd be super handy and that'd be one more reason to use a terminal from within IDEA. The project's context data that IDEA holds is of great value, it should be put to work with this feature and probably some others.