I checked by almost completing checkout and no state tax was charged. I would be surprised if the states could tax federal goods.
Generally states can't. I wonder if what could technically trip you up is the lack of tax stamps. But can you get in trouble for having unstamped cigarettes? I'd think generally no.
The argument for "it shouldn't" could be that it's a federal supplier and/or some sort of RnD exception. Not sure if NIST would even sell to a private buyer.