Limit access to custom term within custom post type

Hi!

I am trying to set up custom access on my client’s website, and I can’t quite figure out how to limit a user’s posting access to a specific custom term within a custom post type.

I’ll try to give some more background here in case it helps.

The website, has a section called Labs. Each lab has a blog, viewable on an individual page, for example.

Technically all the lab blog posts are a custom post type, and each lab is a custom term.

I have created a user role called Mediator for lab mediators, similar to the editor user role, but limited only to posting in the custom blog post type. However, I also need to limit each lab’s mediator to being able to post only in their specific lab, so technically to the custom term the lab is assigned.

Where do I find that in AAM settings? I was thinking, in the posts and terms section, but when I go to Posts and Terms -> Blog Posts (my custom post type), I only see the individual posts listed, and can’t find the names of the custom terms listed anywhere.

Could you please point me in the right direction?