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[50NL] 6max. TPTK on wet 3bet board facing raise ott

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[50NL] 6max. TPTK on wet 3bet board facing raise ott

Blinds: $0.25/$0.50 (5 Players) UTG: $107.29
CO: $50.00
BN: $90.66 (Hero)
SB: $16.28
BB: $74.00
UTG - VPIP: 21, PFR: 15, 3B: 5, AF: 1,5, Hands: 3348
CO - VPIP: 16, PFR: 12, 3B: 5, AF: 0,0, Hands: 76
BN - VPIP: 26, PFR: 20, 3B: 6, AF: 2,4, Hands: 6342
SB - VPIP: 57, PFR: 0, 3B: 0, AF: 0,0, Hands: 7
BB - VPIP: 24, PFR: 19, 3B: 10, AF: 2,0, CBet in 3bet pot: 50, Hands: 333
Preflop ($0.75) Hero is BN with A 9
2 folds, Hero raises to $1.25, SB calls $1.00, BB raises to $5.50, Hero calls $4.25, SB folds
Flop ($12.25) 9 4 7
BB checks, Hero bets $6.29, BB calls $6.29
Turn ($24.83) 9 4 7 8
BB checks, Hero bets $9.91, BB raises to $31.62, Hero raises to $78.87 and is all in, BB calls $30.59 and is all in

I guess it's quite safe to assume vil is not on an overpair after flop actions and also something like JT would be weird imo. How would you guys play the turn? My idea behind the AI raise was that I might even get some hands to fold that beat me (still the occasional overpair or maaybe 87?), while many combo draws are priced in.

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