Just looking at KVPC(Cartersville ,GA) looks like N163PA changed from a G-5 on arrival from Macdill AFB,to a G-3 departure to Andrews Afb.
It appears to be a G-III all the time except that flight. Some pilots fly various models and might enter the wrong number while filing the flight plan. They also may have filed over the phone and provided the correct info but the nice folks on the other end goofed it.
Ive seen that one and others several times,thats one of those used to be Phoenix Air birds ,but somehow still flys into Cartersville,where Phoenix Air is Lcoated.I figured it was a just a goof but quite a difference between a G-5 and G-3.