I think even two TEI TF 6000 engines won't be enough for such a load. There were rumors before that it would have two engines, but I don't remember which ones.
What about a single TF 35000 engine? Would that be suitable? Even if not, I think it would require minor modifications. And as a fighter, it would be superior to the current version with a Ukrainian engine.
Too expensive, don't forget these are disposable products where the loss is factored in. Even if it only carries payloads of 4-5 tonnes, that's enough. It's supposed to take over some of the missions, not all of them. A total of 12,000 lbf with 2 engines is enough to carry these payloads; the drone moves in subsonic space anyway, so more lbf is not necessary.
Don't forget Akinci has 2x Turboprop Engines, and the drone carries a payload of 1.5 to 2 tonnes.
In addition, an A-10 has two 9000-lbf engines and can carry 7-8 tonnes of payload, and we are talking about a CAS and air-to-ground aircraft that has to carry even more complex electronics and equipment for the pilot. None of that applies to drones, so 4-6 tonnes is very realistic, as they fly at subsonic speeds of 800-900 km/h.
With this philosophy, you can completely replace the F-16, even as a multirole fighter aircraft from 2030+ onwards.
KAAN, Eurofighter and F-16 Özgür II as high-end dominance, interceptors, first strike, SEAD/DEAD missions.
For patrols, CAS missions, reconnaissance and long-term pressure in the Aegean Sea on Greece and Israel, and I'm talking about real pressure:
Hürjet LCA as drone coordinator and fighter jet
Kizilelma as forward sensor node and stealth drone
Anka 3 as sensor node, stealth bomber and remote AAM truck.
Akinci turbofan as a strategic bomber in the background carrying 6-8 SOM cruise missiles or several intelligent Rockets, loitering and MK 82-84 bombs.
Israel and Greece cannot fly their F-35I, F-15I, F-16I and F-35, Rafale and F-16 fleets 24 hours a day with a large number of sorties; that would be very expensive.
All they have left are the F-16 and Rafale as wear-and-tear aircraft that are in constant use, and for that, the Hürjet LCA, Kizilelma, Anka 3 and Akinci Turbofan are enough to keep them in check in terms of missions.