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We allow TTJ9 one suite and 5678ds in there and it is very hard to realize our equity. We must make the nuts to win.
You say it like 5678ds isn't a better hand to have against aces than KK.
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Against described opponent, this is +EV
All we heard is this:
"The BB just got stacked, re-bought to 200BB, and is loose/aggro/bad. "
That's barely a description. What does loose/aggro/bad mean? What does he 3bet with?
KKds is a very fine hand to play multiway, but reopening is good too if opponent is going to have non AA here enough. It really just comes down to the comparison of those two situations.
Anyway, reraising seems fine. Kind of shocking you didn't even tell us what your hand is, just that it's ds KK, as if all dsKK are exactly the same. I suppose I would probably ship KK23ds here too just for the dead money, but if it were close you'd want to specify.