It has a 118 kWh battery, like the Dream Edition. The regular GT has a 112 kWh battery.
The reason the HP differs between the GT-P and the DE, despite having the same battery capacity, is the battery chemistry.
The motors are the same. There may be some minor manufacturing differences in terms of windings and whatnot, but that has never been clarified. Design wise, they are the same, to my knowledge.
On the Sapphire, the twin rear-drive unit also introduces new heat exchanger technology and heightened coolant flow rate. The battery system is also upgraded for higher power and more precise thermal logic. But the *motors themselves* are the same, to my knowledge, though we won’t really know until we have more info on the Sapphire.