I also did try the mods that you have listed however, Diplomacy (which I am already using) only edits relations - if it does have some team add/removal feature I haven't found it or I might be genuinely blind.
Team Coop not sure if it does have what I seek in terms.
Teams mod just borked everything up when I did. It removed the last team I was on when I created a new one - not to mention that the new team didn't even appear on the team GUI :/
Regardless of the above, I sent you a FR on Discord. I'd really appreciate the help in how I can script things to add new teams, since I did take a look at the Factorio wiki (console commands page) and found nothing that would guide me through. Or at least Ctrl+F didn't find anything. :)