AK in Sb Facing a PSB left OTR with TPTK

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AK in Sb Facing a PSB left OTR with TPTK

BN: $24.69
SB: $13.52 (Hero)
BB: $7.80
UTG: $8.08
HJ: $19.75
CO: $10.76
Preflop ($0.15) (6 Players)
Hero was dealt A K
UTG folds, HJ raises to $0.30, CO folds, BN folds, Hero calls $0.25, BB calls $0.20
22% PFR from HJ, F2bet is 100% so I dont know if worth playing OOP against a worse range with only BB left, who calls 15% CC in general, with 31% (16) on BB
Flop ($0.90) 6 3 K (3 Players)
Hero bets $0.64, BB calls $0.64, HJ folds
Turn ($2.18) 4 (2 Players)
Hero bets $1.56, BB calls $1.56
2/3 of the pot against possible FD, KT+,some 99-QQ. But in turn I think I can remove many PP and pure floats, I want to get value from FD and worst Kx.
River ($5.30) 4 (2 Players)
Hero bets $5.40
But river, when FD misses and he folds 30% against FlopCbet and 25% to TurnCbet. I think I cant fold if when bet again to get value of worst hands, but I dont like calling a raise also , which seem to strong,maybe check/fold?
I think I have to stuck to my game plan and I think a shove on river gets the value of the hands I want him to keep, but what to do in a brick? I maybe check fold more confident when FD completes
Final Pot
Hero has A K BB has 6 6 Hero wins $0.10 , BB wins $15.11


Another question ..... how I can balance to not get exploited by getting flatted and shoved profitably when FD completes for example?? I dont understand any about this....

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