In my experience, it depends on what is going on in Russia. It’s difficult to attack India until Russia is eliminated or at least pushed back to Ukraine/Moscow.
I think the ideal situation for the Turks is to take the southern Russian TTs (Sevastopol, Romania, etc.) while Austria and Germany handle the heavy lifting against Russia. That gives them enough money to pose a serious threat to India or, at the very least, prevent a classic Allied KTF strategy.
As for actually taking India, I’m not sure that’s always worth it. I think the Turkish role is simply to survive and divert as many Allied units as possible while Germany actually “wins” the game for the CPs. If you can simply force the British to continually build units in India and maintain a stalemate in the Middle East, Turkey has done its job and Germany/Austria can take it from there.