1/2 NL live casino

I know its trivial spot, but Im unsure about play.

Just sat down and literally 1st hand. I know most at table and theyre pretty passive/bad players. Loose weak pre, and fit or fold types. With exception of 2 okay players. Im seen as LAG winning player in general here. Otth

AA utg and we make it $12. This is not a limp/rr table with soo many preflop limpers. 3 callers - BB, MP and BTN. BB has $185. The other guys are short with approx $75. I have everyone covered.

Flop ($49) - AQ7r. Bb checks. We check. Mp bets $15, btn calls and bb calls. Hero?

Do we just flat and x/r turn or is it time to raise now? I know there is merit in leading flop, but Im not sure a Q even calls one bet here.