Why not just buy from China then? JL-9, JL-10, K-8, or even J-10. Armenia has some militaries ties with China; the latter provides the former with small sums of military aid.
(1) China in this context is seen via Pakistan lense. It doesn't mean Armenia is hostile to China, but JF-17 overflew Baku victory parade.
(2) China is not desperate to sell; there will be no favourable conditions. India is, in fact, desperate - and through its history is anti-islamic one even at its own expense. Idiotic "small lion, big lion" memes are an actual sentiment.
(3) Between JL-9, JL-10, K-8, or even J-10, which one will match JF-17 or F-16 Ozgur best?

This is a combat jet story, for a country, which to a significant degree lost a disastrous war from the air.
They already covered requirement to overfly
defeat parades with Su-30SME - they look more imposing than any training jet.