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Many solid replies here, and while I understand the arguments for pushing my opinion is that it is a better play to just call the raise. As some have mentioned this is a high-risk/high-variance move, but your expected return is so much higher. Think about it, with AKs you actually WANT more callers (as long as they dont have AA/KK of course, but these will ride with you anyway) because your hand has pot equity multiway and inducing a call in this situation EV+.
There is another argument for going all-in; you will be able to see all the cards, instead of just the flop. This argument is however not valid in this particular case since you will have the right price to draw for your two overs if you miss the flop. This IS a high-variance move, but I am a firm believer in pushing even the smallest edges as long as it is cashgame. Tournament is another issue, but in this case I think it is clear that a call is the superior play. Of course you need a solid bankroll to pull of moves like this, but I think that if you arent rolled enough to exploit even the tiniest edge you should go down and play at stakes were you can afford it.
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