According to Aleta Jackson of XCOR (see comments), Mojave Airport is now an FAA-licensed spaceport, the first inland one in history (note: probably not a permalink), as of yesterday, with Launch Site Operator License # LSO 04 009. I’m sure that it’s just by coincidence, but it’s just in time for Burt’s flight on Monday.
[Update at 6 PM PDT]
There seems to be a lot of confusion in the comments section. When I say spaceport, I mean a place that the FAA has specifically licensed for commercial launches under American jurisdiction. As far as I know, that doesn’t include, for example White Sands (which is one reason that Armadillo probably won’t be able to make an X-Prize attempt this year). And it has nothing to do with Shuttle launches or landings.