92o BB check

Known players:
[tg]SB$1,17:///////;Hero$2,82:///////;MP1$1,01:///////;MP2$1,23:///////;MP3$2,62:///////;CO$0,4:///////;BU$2,32:///////;[/tg]
0,01/0,02 No-Limit Hold'em (7 handed)
Hand recorder used for this poker hand: PokerStrategy.com Elephant 0.105 by www.pokerstrategy.com.

Preflop: Hero is BB with 9♦, 2♠
MP1 folds, MP2 calls $0,02, MP3 folds, CO calls $0,02, 2 folds, Hero checks.

Flop: ($0,07) 9♠, 7♣, 3♠ (3 players)
Hero bets $0,05, MP2 folds, CO raises to $0,10, Hero calls $0,05.

Turn: ($0,27) T♥ (2 players)
Hero bets $0,13, CO raises to $0,28 (All-In), Hero calls $0,15.

River: ($0,83) 7♥ (2 players)

Final Pot: $0,83

Should I have bet all in on the turn instead of .13 against this low stack player?

Boum98