I think the TT would have to be really old to not have socketed bulbs in the tail lights. Pull the lens, if the bulb comes out the base of the bulb should say what type is is... probably 1157 if dual element, 1156 for single. Once you know that you can lookup LED replacements.
If the bulb isn't removable (never seen one myself) then wiring in a complete replacement unit should work fine.
One thing to check, if your TT is really old it could be 6volt, could also be positive ground. You'll want to know that....
2015 RAM 1500 4x4 5.7, 3.93
2013 Econ 16RB TT