NL50z AKo 3b pot vs reg

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NL50z AKo 3b pot vs reg

Blinds: $0.25/$0.50 (6 Players) BN: $50.00
SB: $60.79
BB: $50.74 (Hero)
UTG: $75.77
MP: $52.95
CO: $50.00
Preflop ($0.75) Hero is BB with A K
3 folds, BN raises to $1.25, SB folds, Hero raises to $5.50, BN calls $4.25
Flop ($11.25) 6 7 2
Hero bets $3.50, BN raises to $9.34, Hero calls $5.84
Turn ($29.93) 6 7 2 4
Hero checks, BN bets $15.00, Hero folds
Final Pot BN wins $28.43
Rake is $1.50

21/17/10 f3b:40% 4bet:23% h:600
af%: 30 | 28 | 27
raise cbet in 3b pot: 50% (4)
wtsd: 29
w$sd: 49

I feel folding too much AK vs him in this spots (and in 3bet pots in general) makes me exploitable, was thinking on jamming OTF. What range would you ad for him? And what line would you prefer and why?

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