STT $0,50 9p - AA

Beginner here - but just giving my 2 cents, appreciate some constructive criticism if my reasoning doesn't make sense.

On pre-flop, I would have shoved all-in with less than 15 BB - not sure whether that's the correct call given that AA has 4:1 odds against any other hand, so min-raise can milk the villain for more money.

On the flop, I would raise at least 2/3 pot to push them out of the pot. A gutshot draw will likely fold here. With Q on the turn and river, I would have checked and folded as well.

I'm not sure what to make of villain's range. With the range that can call hero's raise, as the villain I would probably shove all-in instead.

Pre-flop shoving is indeed not a bad option with a 12bb stack. If I raise here I would min raise.
As played I would bet the flop also larger. If you bet 300 you can shove every blank turn.
Now the turn card is 1 of the worst cards possible and I would give up as well against an unknown on the 50c stakes.

Cheers,
SDK1987