UTG PFR AA vs BTN call, cbet check/fold K96r K

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UTG PFR AA vs BTN call, cbet check/fold K96r K

CO: $25
BN: $64.97
SB: $54.89
BB: $50
UTG: $61.09 (Hero)
HJ: $65.22
Villain more solid thus far
Preflop ($0.75) (6 Players)
Hero was dealt A A
Hero raises to $2.50, HJ folds, CO folds, BN calls $2.50, SB folds, BB folds
Flop ($5.75) 9 K 6 (2 Players)
Hero bets $4.50, BN calls $4.50
If i give him a reasonable calling range then JJ-77, BWs, will he flat KQo here? it makes a big difference. i'm not sure how often he floats with some AQs AJs here?
Turn ($14.75) K (2 Players)
Hero checks, BN bets $9.25, Hero folds
So once we get to the turn, its reasonable to assume he may check back JJ-TT.
Looking at the broadway suited portion of his range:
he will have more KQs KJs maybe KTs then QJs JTs, does he flat AKo/KQo?

So looking at his portion of hands that are gutshot+backdoor versus Kx hands or set
If he calls JTs preflop BTNvUTG then he will have KTs so:
KQs/KJs/KTs/99: 9 combos
QJs/JTs: 6 combos

If he doesn't call JTs pre
KQs/KJs/99: 7
all QJs: 4

And i'm still not sure if he 3bets AK or flats KQo

if i give him suited connectors then i do have to continue: add 4 combos. Assume he checks back 9x

i don't think he is always stabbing once i check to him.
Final Pot
BN wins $14.73

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