Disregarding the results i like calling preflop. If you 3b and he 4b here its not a bluff and you are lucky to get it in good here. Maybe AK will do it but not as much as you need it to. Basically 3betting makes worse fold and better calling/raising which is the opposite of what you want.
Id only 3b AA and KK here vs most ppl and maybe some random hands mixed in.
As for how you played it when you call his bet you dont have AK most likely but some kind of over pair and his KK will beat all your over pairs since if you had AA you wouldve got it in pre. So when he bets the turn you are beat. I dont think he will be bluffing
here ever. Also since he 4b pre i dont htink he has TT or JJ etc enough as well as AKss to keep betting like that.
I would play it by calling pre.
As played i would fold turn given i have no reads.