Hi.
Thrust bearing my a**

.
As an BEng Mech, I sometimes find it hilarious how engineering vocabulary finds its way into everyday speech with a totally different meaning.
A tuner of that kind does have a kind of a thrust washer/bearing as well (on the worm shaft, between the button and the body), and those can be found on StewMac for example.
As for the place to find a barrel nut and a washer for a closed type tuner, the local music shop or the oldest repair person in the area is the most likely the places where a part like that would be found.
Wording the title a bit differently might help some TBer who has one in their parts drawer to step in.
Heck, if I had one, I'd send it to You. But I don't have any.
Regards
Sam