Can't quite tell which GN-X model that's supposed to be
Looks like a green GN-X III. The very blurry lance is in the background/right hand. Interestingly enough, this could be the unused concept for a Patrick Colasour custom that had Enact style antennas on it.
Also, the Gundam is the Exia Repair IV, not the 00 Quanta. The katakana in the description says "Graham Gundam", which is what its pilot, Graham Aker, calls it.