Ok, it is N2. Typo.
Back to a real life situation, you will not have trouble if the engine does NOT fail, as you can easely climb with the gear down. L
Loosing nr 1 engine, yes, LGTU will work with an empty system A reservoir, as long as the gear is hanging down.
Return fluid will however go to system one after gear retraction, and be dumped to the same place the fluid from system A went.
Do not know how many go arounds you can make, as the fluid tranfer/loss is quite substantial. Probably depends where the leak is.
Chance this scenario to happen however is next to none.
Double failures nowadays are prohibited in the sim.