NLH50 Z 6MAX- AK 4bet pot ep vs btn

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NLH50 Z 6MAX- AK 4bet pot ep vs btn

BN: $62.68
SB: $50
BB: $79.68
UTG: $50 (Hero)
HJ: $25.85
CO: $34.13
Preflop ($0.75) (6 Players)
Hero was dealt A K
Hero raises to $1.50, HJ folds, CO folds, BN raises to $4.50, SB folds, BB folds, Hero raises to $10.50, BN calls $6
Flop ($23.25) 8 4 7 (2 Players)
Hero bets $10.80, BN calls $10.80
Turn ($44.85) 8 4 7 Q (2 Players)
Hero checks, BN bets $9, Hero folds
Final Pot
BN wins $41.40

btn 31k hands 22/19, 3bet btn:9, 3bet vs ep:4.6, fold 4bet: 58, fold cbet 3b pote:46 turn:33

bet vs missed ip turn 3bet pot: 59


I think the decision to 4-bet pre flop or be close call for giving 4bet I eliminate many hands that I'm in front. 

As played, what better post flop line? Bet / bet? Bet, c / f? C / f?

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