AA NL 50 6-max Call,reraise or push

This should be pretty basic I guess....and yes I know it's all read dependent.

Anyway, Preflop : Villain in EP raises 4 BB, Villain in MP , 3-bets to 12BB
, Hero in LP with AA?

If I've been playing a quite laggy game, raising a lot in LP. Pushing with some hands or people have played back at me - I might 4-bet or just push here. But since I just sat down at the table, have no reads, and my image is very solid. What is the most +EV play?
4 betting will enable one or both of them to fold a lot of hands. Only exeption might be KK. Is it simply perhaps more +EV to just cold call.
The 3-betting villain will probably bett a lot of flops, and call a flop push.
I think his range her is JJ+ and AQs+
JJ and QQ will have a heard time getting away from a rag flop, against a push, but they might fold against a 4-bet preflop....
I also dislike that 4-betting preflop reveals to much of my hands strenght, given my solid image so far....

Anyway thoughts on this would be apreciated!!!

Any stats on Villains?

I would be worried about 2 callers with AA, I think the initial raiser is likely to call.

I would re-raise this perhanps to 25-30BB limit the field to heads -up or just take it down there and then. Even better someone may push their JJ+. I wouldnt be all to happy if I got two callers and the flop had a Q or J. Lets hope for a relatively safe flop if someone does call the RR

stacks?

i´d 4bet, giving JJ+ or even AK the chance to push. calling isnt that great an option, b/c flat calling here in the face of an possible push behind you is even more suspicous.

best action totally depends on the players pre-flop tendencies and table dynamics and STACKS.

I don't think there is much difference between flat calling and re-raising here. I would play the way you want your image to be established in the future... so if you want to be agressive pre-flop and even push some then 4-bet. If you want to keep pots reasonable and play post flop than just call. I am not worried about seeing a flop 3-way in position with AA. However, the blinds might call too, if they are frisky or stupid and that kind of sucks. So I kinda lean towards a rr here.

OK, thanx for the replys...stacks in this case are: Villain that raised - about 130BB, Villain that 3-bet about 100 BB, and me about 115 BB....as I said before no stats on players yet, just sat down at the table.

About a flat call, I'm in position so perhaps not that much of a problem if a bad flop hits, however thought about the image part, and I usually play quite aggresive....so I probablygain more +EV on other hands by pushing here....