TAI et. al say the TFX prototype will use the GE F110, but TR Motor is tasked with developing a comparable engine in parallel. I reckon the TFX will use the F110 well into SBP and Block-I, but seeing the ambition and -- to be frank, shockingly good competency -- of the Turks, their in-house engine might make it to Block-II.
Yes, by going for a F110-class engine, the Turks did make it more difficult to source a non-ITAR alternative (e.g., you have EJ200, RD-93MA, etc, in the 80-90 kN range). However, the TFX is also a bigger fighter than most next-generation options and, as a result, may make for a good strike fighter.
Granted, the PAF would likely have to wait for the TR Motor variant (which I think would come at the Block-II or Block-III stage of the TFX). However, the TFX definitely makes its case for an ideal successor to the F-16s and the Mirage ROSE-I/II/III. You can get the one fighter to form your offensive edge, basically.
On the other hand, this opens the space up for a smaller complement. I know TAI is working on the Hürjet, which can technically serve as a lightweight fighter. However, I wonder if they can extend the work going into its FCS and other inputs into a light/medium-weight next-gen fighter (in the size of the Gripen E/F).