Playing heads-up. You are in the BB with AKs.
Opponent makes a standard raise, you do 3-bet in you fly 4-bet.
At this stage in the manner of playing an opponent you're already 99% sure that there is a pocket pair.
He alleged 1010 JJ or QQ. You have the typical coin-flip, but in the long run, you'll still lose more often.
Stacks of you as an equal.

What do you usually do in this situation? Push? Call and see the flop? If so, will there still a street call if not catch the A or K?
What do most plus a solution?