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You're missing the point. You give villian WAY too much credit here, where they should fold JJ TT AK etc,. Folding KK in a SnG here preflop is way too weak tight, and you're cutting into your long term ROI, imo.

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I never told OP to fold. I commented on his original question as to what villain held. Plus, I don't see anybody re-reraising with J J and 10 10 in a multiway pot as being a good play in the long run. Also, with A Ko or A Ks, you're better pushing all-in instead rather than re-reraising. If you're called and miss the flop, you've committed too many of your chips. That kind of play is best suited for a more deeper-stacked game and a $60 STT doesn't qualify.