In Florida, that plywood nuc box will be full of mildew, and the plywood buckling off the side in about 3 months.
Yes, even with exterior paint, and bees inside. It has to be pine with a screened bottom. Your climate must be much drier in NC.
It's a very nice work box for pulling frames of honey or brood, or an excellent bee-happy frame rest during inspections. And a nice job with the carpentry.