A9s in 3bet pot - call down 3barrells

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A9s in 3bet pot - call down 3barrells

Blinds: $1.00/$2.00 (5 Players) BN: $247.44 (Hero)
SB: $700.75
BB: $200.00
UTG: $203.00
CO: $200.00
Preflop ($3.00) Hero is BN with A 9
2 folds, Hero raises to $4.50, SB folds, BB raises to $18.15, Hero calls $13.65
Flop ($37.30) 6 9 3
BB bets $23.61, Hero calls $23.61
Turn ($84.52) 6 9 3 3
BB bets $52.61, Hero calls $52.61
River ($189.74) 6 9 3 3 K
BB bets $105.63 and is all in, Hero calls $105.63

BB 3bets 12% BBvsBTN and cbets in 3bet pot 70/47/60. The river King is a perfect card to barrel for him.
My range on the river is 51 combos or so: JdJh,JdJs,JhJs,TT-66,33,AcQc,AcJc,AcTc,Ad9d,Ah9h,As9s,Ac8c,Ac7c,Ac6c,Ac5c,Ac4c,Ac2c,Kd9d,Kh9h,Ks9s,Qd9d,Qh9h,Qs9s,Jd9d,Jh9h,Js9s,Td9d,Th9h,Ts9s,9d8d,9h8h,9s8s.

Should I call only with sets, K9s, A3s and TT-JJ or can I add more combos ?

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