Flop/turn nuts - were we supposed to ship turn???

20plo - clubgg - 7 handed - min 35% vpip

Hero (BTN): 252.55 BB
SB: 100 BB (VPIP: 16.67, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 8)
BB: 40 BB (VPIP: 42.55, PFR: 11.35, 3Bet Preflop: 0.00, Hands: 179)
UTG: 117.05 BB (VPIP: 61.54, PFR: 7.69, 3Bet Preflop: 16.67, Hands: 17)
UTG+1: 172.4 BB (VPIP: 56.25, PFR: 18.75, 3Bet Preflop: 33.33, Hands: 20)
MP: 309.95 BB (VPIP: 52.38, PFR: 38.10, 3Bet Preflop: 0.00, Hands: 29)
CO: 44.05 BB (VPIP: 30.14, PFR: 10.96, 3Bet Preflop: 0.00, Hands: 100)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has A♦ K♣ 8♠ 5♥

UTG calls 1 BB, UTG+1 calls 1 BB, MP calls 1 BB, fold, Hero calls 1 BB, SB calls 0.5 BB, BB checks

Flop: (6 BB, 6 players) Q♦ T♠ J♥
SB checks, BB checks, UTG bets 4.5 BB, fold, MP calls 4.5 BB, Hero calls 4.5 BB, fold, fold

Turn: (19.5 BB, 3 players) 3♠
UTG bets 19.5 BB, MP calls 19.5 BB, Hero calls 19.5 BB

River: (78 BB, 3 players) J♠
UTG bets 78 BB, MP calls 78 BB, fold