NL100 KK 4bet pot

Poker Stars, $0.50/$1 No Limit Hold'em Cash, 6 Players

BTN: $47.09 (47.1 bb)
SB: $100.05 (100.1 bb)
BB: $131.80 (131.8 bb)
Hero (UTG): $159.55 (159.6 bb)
MP: $168.80 (168.8 bb)
CO: $100 (100 bb)

Preflop: Hero is UTG with K K
Hero raises to $3, MP folds, CO calls $3, 2 folds, BB raises to $15, Hero raises to $30, CO folds, BB calls $15

Flop: ($63.50) 3 9 A (2 players)
BB checks, Hero checks

Turn: ($63.50) 7 (2 players)
BB bets $101.80 and is all-in, Hero folds

CO 20/16/8 TAG

BB 27/21/11 after 354 hands
squeeze 18,2
BB squeeze 14 (1/7)
BB 3bet 7,5 (3/40)
foldto4bet 1/2
call4bet 1/2
cbet F3b 60
AFq F/T/R 45/32/42
wtsd/w$sd 17/63

His squeeze is pretty big, but we are somewhat deep. Pre call vs 4bet?
On the turn it was sooo tempting to be a hero...