Preflop I think we make it slightly too large. We have position and there has been a min raise, I would be making it 60-70 here. We want to encourage action with AA in position rather than discourage it.
Flop we are never folding here. I prefer calling here rather than raising and getting it in.
On the turn when he pots it again I am not folding. Are we going to be beat here sometimes? Absolutely. However, villain can definitely be doing this with worse as well, without any reads I would only be folding the turn if a fourth spade rolls off, or possibly if a K comes and he pots it again.