$2 NLHE Full Ring: 2NL: Full house vs 4 of a kind?

[Ainars]

PokerStars - $0.02 NL - Holdem - 8 players
Hand converted by PokerTracker 4

CO: $2.00 (VPIP: 14.29, PFR: 6.49, 3Bet Preflop: 0.00, hands: 78)
Hero (BTN): $2.13
SB: $0.85 (VPIP: 29.41, PFR: 23.53, 3Bet Preflop: 25.00, Hands: 18)
BB: $2.16 (VPIP: 33.33, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)
UTG: $0.54 (VPIP: 23.08, PFR: 12.31, 3Bet Preflop: 4.55, Hands: 66)
UTG+1: $1.43 (VPIP: 18.75, PFR: 12.50, 3Bet Preflop: 7.69, Hands: 32)
MP: $1.70 (VPIP: 31.82, PFR: 13.64, 3Bet Preflop: 0.00, Hands: 22)
MP+1: $2.12 (VPIP: 16.67, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 12)

SB posts SB $0.01, BB posts BB $0.02

Pre Flop: (pot: $0.03) Hero has 6♠ 6♦

UTG raises to $0.04, UTG+1 calls $0.04, fold, fold, fold, Hero calls $0.04, fold, fold

Flop: ($0.15, 3 players) 9♦ 6♥ 7♠
UTG checks, UTG+1 checks, Hero bets $0.08, fold, UTG+1 calls $0.08

Turn: ($0.31, 2 players) T♠
UTG+1 checks, Hero bets $0.23, UTG+1 calls $0.23

River: ($0.77, 2 players) 7♣
UTG+1 checks, Hero bets $0.84, UTG+1 raises to $1.08 and is all-in, Hero calls $0.24

UTG+1 shows 7♦ 7♥ (Four of a Kind, Sevens)
(Pre 82%, Flop 94%, Turn 93%)
Hero shows 6♠ 6♦ (Full House, Sixes full of Sevens)
(Pre 18%, Flop 6%, Turn 7%)
UTG+1 wins $2.83

Did I do everything right? It's probably just a cooler, right? I'm not sure whether I should have bet river once he called turn? He did seem like a TAG to me, according to stats - 18/12? But I figured he would not have played passive up til now if he had trips (?) So I thought he just had an overpair or something...

 

[PaxMundi]

By making the flop and turn a bit bigger you set up a river shove so 12 on the flop 30 on the turn and shove the river for around pot.But your always going broke here so wp.

 

[t1riel]

It's not a cooler. Your opponent was ahead the whole way. Nothing much you can do. Neither of you are going anywhere after the flop.