After listening to Saha Expo panel, new TurDef article, I am 90% sure that TAI will get involved in Tempest and BAE systems will use some of newly built facilities
https://www.turdef.com/Article/british-giant-bae-systems-wants-to-deepen-relations-with-turkish-tf-x/2372
BAE systems wants cooperation in prototyping and serial production phase, and I see hints of further Tempest cooperation in the article