AA in SB Question.

[Xanthro]

Live $1,$2 NL $200 max buy in.

Hero is SB with $350, and has Ad As

Villian is MP 2 with $400, hasn’t played many pots in last 20 minutes.

2 limps to Villian, Villian limps, two more limps. Standard for table.

Hero raises to $15, $15-$30 has been a standard raise for the table.

Villian calls, everyone else folds. $40 pot.

Flop 8c, 5c, 10h

Hero bets $40, Villain calls.

Turn Ah

Hero bets $85 Villain calls

Turn 2h

Hero bets $100 Villain pushes.

What's my play here.