Troy Davis Jr.
The key is Blind synchronization.
if you synchronize before hand, you can pass the hat along without having to be certain that you even have the hat.
it’s forbidden to use time, but there’s nothing stopping you from using space instead!
just borrow a bit from antitime in the bulk and you’ll be OK so long as The swap occurs within the radius of a photon. there’s no evidence therefore nothing illegal. easy peasy!