Timmurids didn't die alone, I marched 35,000 men from Turkey to Tehran and destroyed every Army the Timurids sent at me. I left their armies so badly mauled that when their leader died they were unable to combat the rebellions. I halted my occupation armies in Western Persia and let Persia revolt in the eastern cores to form a barricade between them and me, allowing for redeployment of forces for a fight against the Mamluks next session, whom I have kept guaranteed to prevent European encroachment.
My 10k left in the homeland conducted campaigns against the Greeks to secure Greece.
My Patron of the Arts national idea gives a random event that gives +2 innovative as an option. I got very lucky with it firing twice, knocking out the Innovative moves out of my timescale for Westernisation. I'll be ready to Westernise a century before my tech is backward enough to enable it, sadly.
Game plan is to eat Mamluks, Timurids, Arabian Peninsula and southern Russia from the GH while waiting for this. By the time I westernise I should be a major land power in the east, giving me a powerful strategic position that either threatens the Austrian Empire's eastern front or enables them to turn their full might west.