AKs in multiway pot OOP, cbet?

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AKs in multiway pot OOP, cbet?

Blinds: $0.02/$0.05 (6 Players) BN: $5.44
SB: $9.60 (Hero)
BB: $6.56
UTG: $7.51
MP: $13.85
CO: $7.68
Preflop ($0.07) Hero is SB with K A
3 folds, BN raises to $0.15, Hero raises to $0.55, BB calls $0.50, BN calls $0.40
Flop ($1.65) 7 4 8
Hero checks

I think this is a hand I maybe should be cbetting on the flop in theory but I'm not sure if this cbet is profitable at 5NL.

I expect the coldcaller to have something like TT-QQ,AQs,AK, low weight on KK, never AA, 50% weight on AKs? although w/ AKs he should be cold4betting 100% imo but people are so nitty and play incorrectly preflop oftentimes.

Because the population isn't 3betting much in SB vs BTN but I 3bet like 15% so ya vs 15% it should be obvious that you can 4bet/broke AKs very profitable :) :) ...I guess AKo can also be 4bet broked ;)

The initial preflopraiser can have 44,77,88 a lot of NFD, 56s, 87s, 9Thh, 9Ts, then a ton of FD and also a lot of mediocre stuff and air that he can't call against a cbet of mine.

I think this is also a board where I want to check/raise AA sometimes...

it's probably better to cbet when I have a Qx blocker so I can atleast block QQ in the coldcallers range. so bet AQss and check/fold AKss?

What do you think about check/jamming AKss here? profitable? probably no?

is check/jam the maxEV line with AA here? what about check/jamming NFD? or other FD for that matter :)

greetings

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