The good news is that most types of floorings are ok to install into your basement addition. Still, the major exceptions here are solid hardwood flooring and laminate flooring. They offer a poor moisture resistance, and will buck up and wrinkle in time
So leave the wood for other home remodeling projects, and go for ceramic tiles, sheet flooring, rubber flooring, and others, in order to preserve that new basement flooring for as long as possible.