Make it so cosmetics are put over your normal clothes.
For instance, if i put a spruce cap on, then put on my Link cap, i will visually have my Link cap on, but will still get the bonuses of the spruce cap, since it is also on.
Idk how you'd do this, maybe add an extra slot for cosmetics, but please do this. I want to wear my Link cap but still get that crucial point of Perc.