AA UTG 1st hand of tourney

[cheburashka]

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Check also = very very very bad.
You want to give free cards OOP against 2 players when you have AA in a huge pot and your stack is almost exactly the size of the pot? Do you not like money?

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I don't think I agree with this. You have two players who called a very substantial 4-bet, which means either that their are on QQ+/AK or they are idiots. Either way, a flop check very likely invites a large bet or a shove which will allow you to get your chips in on the flop. In the very unlikely event that both check behind, there's a 75% chance of a turn that will allow us to bet confidently on the next street.

[betgo]

I assume this is very low buyin from the action. You have less than a pot sized bet left. I think the weak lead is pretty obviously AA or KK wanting action. I would probably push, because anything else looks ridiculous after 4-betting preflop.