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that's kind of interesting. i definitely think we need to be betting the river (in response to your original question) because there are a ton of hands in his range that we beat which he probably checks back, but which he would call a bet with (all pairs, some of the better ace highs). and i like your sizing.
when he raises his range is obviously super-duper-polarised given he checks back the flop and flats the turn. the thing is, our range looks pretty damn polarised as well - if he's able to handread. he can probably only have roughly 12 combos of kings here on average (KTs,KTo,KJs,KJo,KQs,KQo) or (KTs,KJs,KJo,KQs,KQo,AKs,AKo) so i think i'm inclined to call, simply because he has a really narrow value range, and only need to be bluffing 1/4 of the time (so roughly 3 or 4 combos) given we are getting ~3:1 on our call. vs a more straightforward player or fishy kind of "trappy" player obviously snap fold, but given our read that this guy is a little tricky, i'm inclined to call. that said, i don't expect to win much more than 25% of the time, if that.
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