You need to know the subtransient reactance to determine short circuit capability of the generator, Xd".
Typical data may indicate something around 0.19 or 19%.
@ 208V, it looks like the contribution to fault current is around 1826A.
The fault current that a breaker ahead of the generator would see depends on which side of the breaker the fault occurs. If its on the generator side, it will see the system fault current only; if its on the HV side, then the breaker will only see the the gen fault current. Most likely the system fault current is going to be higher.