[10NL] AKs...Turn top two pair...close decision?

BB - 16/16 over 25 hands.

UTG is virtual unknown, 13/7 over 16 hands.

PokerStars - $0.10 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

SB: $9.53
BB: $26.74
UTG: $19.27
Hero (MP): $10.00
CO: $6.22
BTN: $8.73

SB posts SB $0.05, BB posts BB $0.10

Pre Flop: (pot: $0.15) Hero has A K

UTG raises to $0.30, Hero calls $0.30, fold, fold, fold, BB calls $0.20

Flop: ($0.95, 3 players) J K 2
BB checks, UTG bets $0.70, Hero calls $0.70, BB calls $0.70

Turn: ($3.05, 3 players) A
BB checks, UTG checks, Hero bets $2.65, BB raises to $6.85, fold, Hero ???

I decide to flat pre because I generally don't like 3betting unknown UTG opens.

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Text results appended to pokerstove.txt

1,672 games 0.000 secs 334,400 games/sec

Board: Jd Kc 2c Ad
Dead:

equity win tie pots won pots tied
Hand 0: 38.756% 38.76% 00.00% 648 0.00 { AhKh }
Hand 1: 61.244% 61.24% 00.00% 1024 0.00 { KK+, JJ, 22, AcQc, AJs, AcTc, KJs, QTs, AJo, KJo, QTo }

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I need 34% equity to call, I have 39% so I feel it's pretty close here. How does my range look for villain?