Uh, you're not aware of the problems between China and Turkey. The problems of Central Asia and the Middle East have nothing to do with China-Turkey relations. Since Pakistan has close relations with Turkey, I don't suggest that we discuss this issue in depth.
We can discuss Turkish-Pakistani military cooperation as well as Chinese-Pakistani military cooperation. That is all.
In short, let's avoid the topic of military cooperation between China and Turkey and the possibility of trilateral military cooperation between China, Turkey and Pakistan. (Lower level military trade is out of this scope)
PAF is perfectly capable of having both KAAN and J-35.
But I don't think it's a good idea. The best option is one or the other.