The more I think about it, the more I like the smaller, one engine version of TF-X. We can keep Kaan as our F-22 and offer 1 engine version for export. It's not like countries that would prefer our 5th gen plane over the others has any actual chance to get any of the others in the first place. This way, we could avoid getting paranoid about who might betray us and sell data about the plane to other countries, like Israel did with F-16 and China.
Single engine TFX would carry the same risk as 2 engine KAAN. I.g. F35 isn't any less sophisticated than F-22. Unless Turkey want to develop a very much downgraded version. Then it won't be proper 5th gen anymore.
And some countries do have alternative. Pakistan is planning to induct J-35. China pitching it to the gulf countries. So, Turkish system has to be qualitatively competitive. I would even say, make it so good that it would be a cost effective alternative of Tempset for countries that has dual options.