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i understand the pre-flop 3-bet, but after BB caps, you should c/f the flop UI not b/f.

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Shouldn't he be respecting my bets/raises too?

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You said button backs down when you come back at him, but now an unknown is 3-betting. The purpose of raising was to get rid of BB, but apparently he has a better hand. I can see the logic of betting into this flop, but I don't think a typical unknown is folding TT-KK.