AA Loses Another Three-Way All-In

I feel like it’s been happening a lot recently (though sometimes it’s ended well.)

PokerStars No-Limit Hold’em, $20.00 BB (6 handed) – Poker-Stars Converter Tool from FlopTurnRiver.com
CO ($2000)
Button ($1189.50)
SB ($2014)
Hero (BB) ($2030)
UTG ($2429.50)
MP ($5521.95)

Preflop: Hero is BB with A, A
1 fold, MP bets $60, 1 fold, Button raises to $185, SB raises to $440, Hero raises to $2030 (All-In), 1 fold, Button calls $1004.50 (All-In), SB calls $1574 (All-In)

Flop: ($5277.50) 10, 2, 4 (3 players, 3 all-in)

Turn: ($5277.50) K (3 players, 3 all-in)

River: ($5277.50) 3 (3 players, 3 all-in)

Total pot: $5277.50 | Rake: $3

Results:
Button had K, A (one pair, Kings).
SB had K, K (three of a kind, Kings).
Hero had A, A (one pair, Aces).
Outcome: SB won $5274.50

The thing is, I honestly believe the guy with KK can fold it pre-flop. Button was a loose passive fish, so that 3-bet is no joke. I put him on AK,JJ+. When SB 4-bets, I put him on AK,QQ+. That means I’m shoving KK+ and folding everything else, including AK and QQ. Even being generous with Button’s range, KK is a fold:

Text results appended to pokerstove.txt

1,908,089,568  games     2.713 secs   703,313,515  games/sec

equity     win                     tie           pots won           pots tied
Hand 0:     19.051%      13.80%     05.25%          263345400     100160068.00   { KK }
Hand 1:     64.100%      57.78%     06.32%         1102496616     120597052.00   { KK+ }
Hand 2:     16.849%      15.60%     01.25%          297689964      23800468.00   { TT+, AQs+, AQo+ }

And that’s just for the main pot; his equity in the sidepot against me is far worse. Hope that doesn’t come across as sour grapes, I just thought it was interesting.