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$15/$30 Party

I'm on the button with AsTc

everyone folds to me and I raise.

Villian in SB 3bet, BB folds, I call

** Dealing Flop ** [ 6h, 7h, 6s ]
Villain bets, I call

** Dealing Turn ** [ Td ]
Villian bets, I raise, villian 3bets, I call.

** Dealing River ** [ 3s ]
Villian bets, I call

Villian shows [ Jh, Kh ]a busted flush draw.

Is it common for people to 3bet oop their 2nd best flush draw? How about 2+2 posters, do you do this too?

Whats the point of betting the river once he missed the flush? If I called his 3bet on the turn, I'm sure as hell going to call his river bet.

Obviously, if I didn't hit any piece of that flop, I would have had to fold against his turn/river bet. Is this the way you would play your flush draws?
Opinions and comments are very much welcomed.