PokerStars - $0.02 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

SB: 131 BB (VPIP: 23.26, PFR: 19.77, 3Bet Preflop: 17.14, Hands: 88)
BB: 100 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: -, Hands: 3)
UTG: 124.5 BB (VPIP: 33.33, PFR: 33.33, 3Bet Preflop: -, Hands: 3)
MP: 32 BB (VPIP: 33.33, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 3)
Hero (CO): 100.5 BB
BTN: 110.5 BB (VPIP: 13.21, PFR: 13.21, 3Bet Preflop: 0.00, Hands: 56)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K A

fold, MP calls 1 BB, Hero raises to 4 BB, BTN raises to 11 BB, SB raises to 25 BB, fold, fold, Hero ???

Spoiler:

raises to 100.5 BB and is all-in

SB has 60% F3bet. I probably overplayed this, but I'm in doubt whether I should have called or folded. After careful thought I don't think that the SB is 4betting light the BTN... fold is better, right?

easy fold, sometimes it's fine even to fold AK to a single 3-bet from a huge nit.
Some people don't even 3-bet AK/QQ vs UTG opens, so vs those people it makes a lot of sense.

what???? your folding AKs v. a single 3bet btn v. co even v. a nit??

Your personal table image has a pretty big impact on how you should approach this hand. if you have stats like the btn. A fold is fine. Even with stats like 23/19/17 this guy isn't going to cold 4bet oop v. 2 nits.

Definitely a fold. BTN's 3-bet vs your CO open might be wide (or not) but SB almost certainly has a real hand there.

Calling is pretty bad because you'll have to play fit/fold postflop, especially if the BTN comes along. If you call and BTN shoves, it's even worse because then you will know for sure you are behind and have invested quite a lot of chips in.

Shoving with AK pre is in most cases a bad idea especially when there have been 4bets because you're either flipping vs TT-QQ, tied with AK or crushed by AA-KK. If you have specific reads on Villain then shoving AK may make sense but withou reads, not so good.

Folding AK to a single 3bet in my opinion only makes sense in a very very specific situation where for example you opened from EP and got 3bet by a 5/5 nit. They will have AA-KK and if you are lucky QQ and won't fold to a 4-bet for sure. CO vs BTN it would be a mistake to fold AKs unless Villain has 3-bet something like 1 hand out of 2000 in which case they only 3-bet AA. It's rare to be in that situation though.