KK. 4-bet preflop. A high flop,what to do?

[Cocopops_X]

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Cocopops_x, by lettng him shove on turn wouldn't I get more value from hands like TT-QQ because I can't see those hand calling my push on flop?

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I was only suggesting a call after your check on the flop as a push on the turn is his only real way to win this hand with a weaker hand. This is why i suggested a raise on the flop and not a check.