There is a peanut sauce that is served at every table. If you do go, make sure you tell your server not to bring it. Also, if you have a child with a contact allergy, bring something to wipe down the table and chairs with. On top of that, I would suggest you do not allow the child to participate in some of the activities because their could be cross contamination issues from other kids who HAVE used the peanut sauce.
Too be honest, personally, this is not a place I would go with a peanut allergy. It would be beyond my comfort zone... but that is me personally.