Bet out because he's ahead
Bet out to get better hands to fold
Check behind to avoid the check raise from AA and AK
Check behind for pot control - let hand develop
Other action/reason
Since villain is short stacked I don't see him folding with anything that he would have reraised with AK,KK,QQ, and maybe JJ. So I think we are behind and only hope is a ten on turn. So I would check and hope for a ten.
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