Where does “Turkye” come from?

Turkye (Middle English) comes from Medieval Latin Turcia, from Latin Turcus, from Greek Τοῦρκος, from Persian ترک, from Middle Persian twlk', from Old Turkic 𐱅𐰇𐰼𐰜, from Proto-Turkic *tür(ü)k — Turk, Turkic people.