CURRENTLY the only way to get an airworthiness certificate that is usable for a gyro in the US from the FAA is Experimental Amature Built (EAB). To qualify for EAB the aircraft must be 51% or more built by the owner.
This aircraft is built by and in a factory. It can't qualify for EAB.
The only possible exception could be Experimental Exhibition. This comes with a whole host of problems with operations and limitations.
Without airworthiness, all you would be buying is a $300000 yard decoration or vehicle you can drive on the road, but never fly.
Maybe someday the FAA will get off of it's arse and allow light sport gyro planes, but as of late, not anytime soon. I am cautiously optomistic that with the new european models getting a lot of exposure both privately and through law enforcement (thank you Irish Pilot and the NIJ) that maybe it will change. However that is likely YEARS away.
If I am wrong on any of these points, I am always up for learning and correction.