For me, what worked was restarting until AQ wasn't allied to Dulkadir.
Ally Dulkadir and Samasktesh (The green Georgian guy), call them in against AQ as soon as you can war, with promise of favours. Make sure you get control of all the sieges. Improve with Ottomans, royal marry when you can (I had to get a dip rep advisor), preferably before the war ends.
In my game, I peaced out for all of AQ, except the two top provinces. You can give these to allys if you want to, I didn't bother (this gets broke land promise for 30 years though, I wasnt in a hurry for the achievement so didnt care). Dulkadir rivaled me as soon as I peaced out anyway. Sam' said he'd break the alliance, but never did.
Ally ottoman (should be possible as threatened by Mamluk/QQ, +the diplo rep advisor) and go from there.
Getting favours with Ottomans is easy, he will likely call you in against georgian minors/defensive stuff, and as long as you contribute, you get a ton of favours.
From there call Ottomans in against Mamluks, QQ, and let him do the work, just make sure you get the sieges on any land he has marked as Vital interest (usually only the coastal Levant provinces in the cyprus sea zone)
Ottoman wont get Conquer Levant mission if the land is owned by you, and if he does, take land outside of the claimed bits until it goes away
Hope this helps