Battery back-up is required here too, but I'm only assuming there's a "same circuit" clause.
Do you run just a single THHN out in the open in front of God and everybody, or is it in a raceway, or do you use NM Cable and ignore the unused conductors?
Just how does one legally run this single conductor?
It would seem just as simple to run #14-3-G between them... and it would in this case...