Normally, I wouldn't consider this a big deal, but it's the spirit of the thing. What happens is that when I start a new game with skills that give equipment in the same slot (in this case, Unarmed Combat and Archaeology), it overwrites the equipment that you get. Specifically in this case, the Fedora. You can't be a proper Archaeologist without a fedora! Maybe it can be set up so that when this happens, it puts the other equipment in your pack instead?