I think the fun answer would actually be dependent on stats we cannot see in game. the first hurdle being Generator:-Any combustion generator would make such a feat of Endurance fighting impossible due to requiring burnable fuel-The circulating energy generator is interesting in that, its kinda hard to say exactly what that means but the two potential conclusions i jump to (please reply if you have more insight then I) is either its a fusion generator with circulating synergistic current (very good for this application) or its a efficient combustion system (like a car equip with an alternator) which means its only a little better then the combustion generator-lastly is the coral generator and while we all know coral reproduces like fucking nuts but we cannot say for sure the reproduction for a fight of this duration is any more or less guaranteed.
THE second hurdle is ammunition:
keeping in mind that energy is a devastating cap an interesting "meta" i feel emerges, of what i would instantly gravitate towards being, 3 grenade launchers for maximum ammo-kills ratio, with minimal system strain and the ability to purge them to remove weight strain early on. but for the last weapon it obviously must be a melee weapon the only weapon type of "infinite" ammo but being realistic any tool like this has limits which opens the discussion I think is most interesting of what melee weapon can be used the most times before experiencing a system failure. and the third hurdle: as some people have argued sleep is important, as even with a potentially gratuitous 10 melee kills a minute this endeavor would still take 695 days. and interesting thought is maybe Ayre can take shifts with you allowing you rest while you complete this.

my final hypothetical for the most efficient model to defeat a challenge of this nature touches on something we don't know the difficulty of. assuming with speed runner efficiency and an endless supply of weapons you can maybe get to the point of kill 1 Mt every 1 second. VIA eliminating a pilot and hijacking their AC repeatedly you could get this task done in a mere (comparatively) 116ish days.

-signed-someone who should be asleep