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Is a turn muck out of the question, since Hero's hand is pretty defined by the turn lead, so BB's c/r must be a super strong hand...?

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The more I look at it the less I think he's on any draw on the turn. Since our hand can't improve, and it's unlikely he's on any spade, if we call here we call the river (unless it's a T or K). So we're investing 2 total bets to win 17, or to win 8.5 if we chop. It looks pretty grim, but if I was hero I don't think I could fold as much as my gut told me to.