After V 4B's pre, and checks to us on flop, I'd think we'd want to bet the flop for a small size.
V is betting slightly less than half pot on turn. I think we need to call, and evaluate river.
If V bets river, and we haven't improved, we fold. If V checks on a heart or a brick, we'll have to bet, although I don't love it, after we've taken such a weak line.
Flop can go either way between bet small or check.
Turn either way between call or fold. The mor3 4bet bluffs v has with AX and not just AK, the more I want to call. We may have some showdown value on some rivers, but also may have a compelling bluff candidate, especially on a heart.
In theory, V should be c-betting for a small size close to 100% when he 4B's pre, so his check on the flop seems weird, and possibly polarized to a slow-played monster, an un-paired draw, perhaps an over-played middling pair like 99/77, or a complete whiff, like A5s.
Maybe he thinks this flop connects with our range more than his when he raises-4B's from the SB and we 3B from the BB. Maybe he's always checking OOP, never c-betting.
But giving him that sort of polarized range when he checks flop, I think a bet here will take the pot down a lot, enough to make betting +EV.
The properties of our hand help, in that we have a blocker to the nut flush, should more hearts appear, and good blockers to AA and QQ. We also have a backdoor straight draw to go with our backdoor flush draw.
If the board runs out with more flush or Broadway cards, I think our bluffs become more credible when we start them on the flop, rather than waiting to see if he checks to us again on turn.
I can't imagine getting many stronger hands to fold by shoving. Unless he was 4bet bluffing and now has some pair less than a K. Also, you don't have many outs to improve. We shouldn't have many bluff jams on the turn, but the ones we do have probably need to be higher equity stuff like flush draws.
Another thing worth mentioning, if v is studied, he knows that in later configurations, he isn't supposed to just bet range on every board as the 4 bettor. He is probably supposed to check a lot of AK with no heart on the flop. He should also trap TT and 88, and a decent chunk with over pairs as well. No one is a GTO robot, but the fact that the guy is a Euro means we shouldn't cap his range on the flop or turn.
Even for a euro pro, i think his 4! Range is going to be MOSTLY TT+ and AQ+, and JJ-QQ bets that flop 100%, so hes heavily weighted AK AA TT imo and you just fold. Its ok to be bluffed with the rest of his range here, i dont think its likely enough bluffs to justify a call.
If you really think he is 4 betting super wide against you, im calling turn and checking back ace high to win, and betting any A J or heart river, but i dont think thats all that likely.
