AK on the Bubble

[Flopzilla]

B&M tournament, $300+30, 60 players, pays 11, down to 13.

Six handed at my table. I am SB, have T14000 after posting, am next to last place after being card dead for the last three or four rounds. Two big stacks, MP and the Button, have T45,000 and T80,000 respectively. Both are very LAG, and have been in just about every pot.

The hand:
Blinds are T200/400,100 ante. T1200 in the pot.
Two folds, MP limps, next folds, Button limps, I raise to T1500 with AsKc, BB folds, MP calls, Button calls. T5700 in pot.

Flop: Qc Ac 8h

I bet T3000, MP calls, button pushes allin.

The key:

Button is very well known to me, he will only push if he has a made hand or a good draw. He knows that I have TP or better.

MP is new to me, but has folded to a push twice previously this tourney.

What’s my play, and why?