I don't know of the computer aircraft were able to fly beyond human limits (i.e. they don't black out) or not. If the computers can actually fly to what the airframe is capable of, they would have a distinct advantage over the human pilots.
Now that first flight is with an experienced training captain but the point is the simulator is good enough that the FAA has signed off on using that as the primary training device.
It's been this way for at least 25 years.
In any case, dogfighting is commonly done because it's great training but in most cases, you expect most Air to Air combat being flinging missiles at each other.
onboard computers are not immune to G's but have a substantially higher threshold until physical mechanisms fail due to strain.