Correct on rechaging, that is part of having the generator handle the average load while running continuously.
Your comment does bring up an interesting point of how many go-around peak loads would need to be handled by the battery and time to recharge battery for next takeoff etc.
Worst case would need to at least accommodate a couple of go arounds followed by climb to cruise to alternate arriving with sufficiently charged battery for at least one more go around. Next take off can likely handled by running the generator on the ground.
Not at all an expert on aircraft energy state, seems a go around would require less energy than full take off but no idea how much less, since also need to account for climb as well as initial acceleration.
Good exam question for the right advanced physics course
