mark it as closed to through traffic.
https://www.waze.com/editor/?zoom=5&lat=35.174392&lon=-80.801136&mapUpdateRequest=4634496&env=usa
Moving to the North Carolina section of the Waze forum (to get you some local help).
Please provide some official documentation about the closure as well (City/Town website is best, but a local news article would work as well).