3b OOP. 872r bord w\ ace-high

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3b OOP. 872r bord w\ ace-high

Blinds: $0.25/$0.50 (6 Players) BN: $50.00
SB: $147.94 (Hero)
BB: $44.25
UTG: $40.58
MP: $251.13
CO: $49.96
Preflop ($0.75) Hero is SB with A K Q 4
3 folds, BN raises to $1.25, Hero raises to $4.25, BB folds, BN calls $3.00
Flop ($9.00) 8 3 7
Hero bets $5.50, BN folds
Final Pot SB wins $8.60
Rake is $0.40

Villain:29\19 open BU 82%
~30% OTB fold vs 3bet
cbet flop 57%; call IP vs cbet (3b pot) 29%, raise vs cbet 24%
fold 2 cbet(3b pot):49%
bet vs missed IP (3b pot): 51%
wtsd 23, almost 10k sample-size

pre: I'd rather 3b here, as he's competent\quite aggresive and we're ahead of his opening range+decent FE pre.
OTF: pros of CB: BU's folding avarage number to cbet, bord is rather dry
cons: bord matches with his range better than our's, we don't have too many turn cards to keep on barreling, he has rather high 'raise vs cbet%', so we can expect some bluffs.

cbet and give up on unimproved turns is better that check\folding?

any thoughts?

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