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It would be nice to know what kind of ranges our villain has been pushing, if you've seen him do this at any recent stage, but by your description of him I would assume not. Of course, I'm not sure how useful this information would be given that his stack has just doubled, and is likely to modify his play as a result.
Typically, I feel like when someone wakes up with an incredible bet in these situations, he will end up showing a powerful hand more often than not; this is compounded by the fact that he's by far and away the chip leader and has little incentive to steal - the chips he has in his stack are currently more 'valuable' than those he does not yet have.
From our perspective, ICM should not factor in too much to our decision-making, given that we are 3rd in chips and the difference between 3rd and 4th is not great.
Adding all this up, it seems as though we have to put our opponent on a rather strong range; TT+ and AQo+ seems reasonable to me. Strangely, given the weak pot odds we are receiving, our decision to call hinges greatly on whether we can put AQ or, less likely, some other worse Ace as a part of his range. If we can, it's a call, otherwise, a difficult fold.
Knowing myself, in your shoes I'd put AQ in his range and make the call.
If any experienced MTTers read this and think I'm way off / full of shit, do let me know, I'd rather be corrected than go on thinking I had it figured out right.
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