Do you mean the badge title? Like for me, “Senior Tester”?
If so, and IF you want that color dependent on the specific title used, it’s going to be difficult to do, because there’s no unique CSS selectors based on the content of that title.
If you want to add something like in the image previously, then that’s easier because you can add it conditionally based upon what group(s) appear in the user ID’s tag.