In a multiway like this the shove is just too dangerous with just TPTK, IMO. Stacks are just too deep to make unnecessarily risky plays like this. I think you should play multiways like this with TPTK more straight up -- lead turn, then you get more information and prevent a potential check that could lead to a flush completing. AK shouldn't be played with one pair for an AI pot, IMO, especially not multiway

if you know button has you beat, instead of trying to make a risky move and outplay him, why not just fold and get your money in when you have the best of it?