Villian is 27/10/2.29. It's a loose call preflop, but I was looking to flop big. Was my 3BAI on the turn a bit overzealous? Is the proper play c/c here and hope to hit my hand? Or did I do the right thing by shoving, figuring that it's insanely harder to get the money in on the river when I've made my hand?

Absolute Poker
No Limit Holdem Ring game
Blinds: $0.05/$0.10
6 players
Converter

Stack sizes:
UTG: $37.59
UTG+1: $16.22
CO: $8.26
Button: $6.98
Hero: $13.35
BB: $11.65

Pre-flop: (6 players) Hero is SB with 6 T
UTG calls, UTG+1 raises to $0.4, 2 folds, Hero calls, BB folds, UTG calls.

Flop: 8 9 J ($1.3, 3 players)
Hero bets $0.3, UTG folds, UTG+1 calls.

Turn: 3 ($1.9, 2 players)
Hero bets $1.3, UTG+1 raises to $4.4, Hero raises all-in $12.65, UTG+1 calls.

River: A ($27.2, 1 player + 1 all-in - Main pot: $27.2)


Results:
Final pot: $27.2