I'm not sure there is a way to definitively solve Pero but I think its worth doing anyway as it'll at the very least give us far more info about our sanities, which will obviously help with gamesolving.
- If we both get the same result on Pero, we'll know that one of us is naive/paranoid (and we'll know which, too).
- If you and I get inno/guilty respectively then it won't help nearly as much tho cos it could still be cop/insane, insane/cop (much less likely), naive/paranoid, cop/paranoid, naive/cop (also less likely).
- If we reverse results then we know neither is naive/paranoid and therefore that it is definitely cop/insane or insane/cop.