Sick spot w boat

This hand came up last week, IÂ’m 90% sure this is just a cooler but interested in opinions.

I have $700 in hijack. SB has $300 and plays tight/predictable ABC poker. BB has $200, is on tilt, and in process of spewing multiple buy ins. UTG has $650 and seems like reasonable reg, plays a lot and at higher limits based on his table talk w dealers.

Preflop, UTG raises to $15, I call w 33, SB/BB all call. Flop comes A22 badugi, everyone checks.

Turn is a 3. It checks to me, I bet $30, three calls, $180 in pot.

River is an 8. Now SB leads out for $50. BB raise/shoves for remaining $140. UTG calls. I think for 10 seconds before shoving. SB folds and UTG calls, asking if I have quad 2s, and turns over AA.

Did I make a mistake shoving here?

I asked UTG after the hand why he didnÂ’t raise and he said he thought I or SB may have 45 or a 2. I remain highly skeptical of that strategy as long term optimal even though it was successful.