Yes of course TK will offer a lounge and as they dont have one of their own it will be PP.
However PP lounges are not best, and now after visiting the one TK recommends I would not got that far as even call it a lounge, my kitchen would be better suited as a lounge.
I was more, as mentioned interested in alternatives. As a Star Alliance Gold member I can access any Star Alliance lounge and as both Lufthansa and Iberia flies from MEX they might have better options.