No, I remember TEİ stating the tests (flying) will start in 2028, not serial production.
Given that they test the engine for around 4 years (2032), we would need ~200 engines for the production.
This deal is probably for that
As previously stated by official mouths, it was said that initial part of production would be made with foreign engines.
In fact, Mr. Akşit has said in his last interview that flight tests with domestic engines wont start before 2030 as far as i remember correctly. It was stated as well that if there is no engineering problem in TFX development and test roadway, first delivery and start of mass production for MMU are planned in 2028.
I predict First ignition of core engine may start in around 2024/2025 and Complete domestic engine with afterburner, gearbox will start tests/optimization in around 2027/2028 and most likely flight tests of final engine will start in 2030 and will probably enter into a 2-3 year re-optimization period in accordance to datas taken from flights.
In other words, there will be a 5-year calendar difference between TFX and the domestic engine at best. If for example 10 MMU Block-1 LRIP production is planned annually, rather than 24 in first 5 year period, this would mean roughly ~50 TFX and 100 F110 engines until 35000lb Tf35000 engine become operational.