First of all, 35 000 lb is very ambitious, yes I agree.But TF35k is being developed to be form fit to F15's engines.In other words, it is enough for us that it performs similar to the engines of the aircraft of the 1970s.By the way, I think reaching 24-26 000 lb with dry thrust is a more difficult goal to achieve than reaching 35 000 lb with afterburner.
To add to the above just look at f110GE129 and f110GE132 engines.
The former is a 17155lbf dry, 29000lbf wet thrust engine.
The latter is a 19000lbf dry, 32500lbf wet thrust engine.
By improving the compressor, combustion and airflow parameters of the same engine and augmenting it “a little” engineering wise, 15% to 20% thrust improvement has been obtained. Now TEI has access to the internals and schematics of this improvement as well as being party to most of its parts production. It is the GE centre of maintenance and repair for the f110ge132.
With that sort of know how under it’s belt TEI is well qualified to squeeze out a lot of thrust from an engine that is f110 size. But taking TF10K as a starting point, the engine TEI is aspiring to build in TF35K is a higher by pass engine as
@Merzifonlu has pointed out. It has different parameters and the design is probably going to be fairly unique and individual. To obtain 26000lbf dry thrust is the goal. That will allow KAAN to fly and operate at its optimum and provide enough power for all auxiliary units and probable directed energy weapons.
So we will wait and see. TF6000 will shed a lot of light about where we stand in the future of TF35K.