How do I play my range here vs old4bet t20

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How do I play my range here vs old4bet t20

Blinds: t10/t20 (9 Players) SB: 3,000
BB: 3,736
UTG: 3,115
UTG+1: 2,910
MP: 2,970
MP+1: 2,910
MP+2: 2,770 (Hero)
CO: 1,569
BN: 2,970
Preflop (30) Hero is MP+2 with K A
3 folds, Hero raises to 60, CO raises to 140, BN raises to 400, 2 folds, Hero calls 340, CO calls 260
Flop (1,230) 9 9 3
Hero checks, CO checks, BN bets 819, Hero folds, CO calls 819
Turn (2,868) 9 9 3 2
CO checks, BN bets 1,751 and is all in, CO calls 350 and is all in
River (4,969) 9 9 3 2 8
Final Pot CO wins and shows two pair, Nines and Fours.
BN lost and shows a pair of Nines.
CO wins 3,568

3bettor seems like an aggro spazz fish over few hands.
Cold4better is a very tight reg 15/11 3bet 4 over 1k hands, played with him in some 6max too, no particular infos.

In this hand i colcalled AKs in this spot to keep the fish in, thinking that i would play the same with my continuing range so AKs QQ+.

Cold4bettor had AKo in this spot witch is obv in his range pre but i think he folds vs my broking range, so i can see only merits in coldcalling all of my range here.

If i 5bet pre I'm faceup on top range, so let's play a faceup range by coldcalling to keep the fish in.
Also adding AKs to QQ+ makes me toughter to play on diff boards, I'm prob folding AKo pre tho given 4better infos.

Also doesen't seems that the cold4better reg realized what my range could be in this spot given that he cbetted the 994cc flop with a 3/4 sizing (very bad imo) with AcKo.

What are your thoughts guys? How should I play my range here? Should AKs be in this range?

If both players go allin i would call with QQ+ and prob fold AKs right?
Do you guys think that both players going allin is a common outcome? If yes I think it's very good for me becouse of the strenght of my range, but I don't think it is the case becouse the 3bettor can have junk like 76s, A9o, J9s etc.

The fish showed 44 and the reg AKo.

Thanks.

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