[Poldi]

I think raising the flop would not be a good play here. The board cant get more uncoordinated than this, your AA is a monster and your opponents are drawing very slim so you dont want to shut anyone out. By calling the flop and raising the turn you extract maximum value for sure.
After the preflop action it is very unlikely BB has a 2 on the river and he might have CRed it so raising there is also good.
Well played but as the others already said, completely standard.