score:4
Well, sort of. Maybe. If you're lucky.
Firstly, because the dates aren't always right at full moon, they can vary slightly. As such, the office of the Archeological Survey controls the tickets, the bookings and the tours.
From the official site:
visitors are requested to confirm the dates from the office of the Superintending Archaeologist, Archaeological Survey of India, Agra Circle, 22 The Mall, Agra
So this leaves you with three options.
Good luck, and enjoy - it sounds amazing!