PS $22 180 Final Table - A6s 3-handed

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PokerStars Tournament, Big Blind is t3000 with t150 antes (3 handed) Converter on pregopoker.com

Button (t108546)
Hero (t45148)
BB (t116306)

Preflop: Hero is in SB with A[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/spade.gif[/img]
<font color="gray">Button folds</font>, <font color="red">Hero raises to t9000</font>, BB calls t6000

Flop: (t19950) 2[img]/images/graemlins/diamond.gif[/img] 2[img]/images/graemlins/club.gif[/img] 9[img]/images/graemlins/club.gif[/img] (2 players)
<font color="red">Hero bets t35998 (All-in)</font>

Villain is an extreme LAG. I see them calling pre-flop with nearly any 2.

Note: Later I realized that the better play was probably to complete, and re-raise all-in their probable raise. But I still want to figure out whether or not what I did was solid.