Telecaster in to get the action down and sort the loose output. Vintage style outputs like this often cause issues as they are held in place by a piece of metal that is literally just shoved into the wood around the hole for the jack. Years of plugging in and unplugging can make this loose so no amount of tightening the nut can make the thing sit put as it’s not that part that’s loose. Anyway, I replaced it with an “electro socket” retro fit surround.
The frets were pitted and flat so I needed to fret level the guitar.
A word to the wise; this guitar had one of the driest fretboards I’ve ever seen. If you have a rosewood or ebony board make sure you oil it from time to time.