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NL Holdem 0.05(BB)
SB ($27.78) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 1]
HERO ($5.99) [VPIP: 23.4% | PFR: 16.6% | AGG: 32.6% | Flop Agg: 34.8% | Turn Agg: 37.6% | River Agg: 18.9% | 3-Bet: 5.1% | Fold to 3-Bet: 67.4% | 4-Bet: 14% | Hands: 1776]
UTG ($2.39) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 1]
HJ ($9.84) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 1]
CO ($5) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 1]
BTN ($5.79) [VPIP: 100% | PFR: 100% | AGG: 33.3% | Flop Agg: 0% | Turn Agg: 100% | River Agg: 0% | 3-Bet: 0% | 4-Bet: 0% | Hands: 1]

Dealt to Hero: Ks As

UTG Folds, HJ Folds, CO Folds, BTN Raises To $0.15, SB Folds, HERO Raises To $0.60, BTN Calls $0.45

Hero SPR on Flop: [4.25 effective]
Flop ($1.22): Ad 3s Ah
HERO Checks, BTN Checks

Turn ($1.22): Ad 3s Ah Js
HERO Bets $0.50 (Rem. Stack: $4.89), BTN Raises To $1.58 (Rem. Stack: $3.61), HERO ???

Anonymous 5nlz pool. Of course, no info on villain.

Villain should be calling a BB 3B from the BTN with JJ-22,AQs-A2s,K9s+,Q8s+,J8s+,T7s+,97s+,87s,76s,65s,AQo-ATo,KTo+,Q9o+,JTo

My AKs has ~64% equity vs this range preflop. Once the flop comes down, I check OOP because I feel that there is a lot he's going to bet out on and we're happy to get as much money into the pot now as possible. A bet of any kind turns our hand face up and I believe denies us a chance at a bigger pot. Turn comes Js and I feel that I have to start putting money in now so I bet .50 into 1.22 and see villain raise me 3x+. What would you do here in this spot?