You don't need to pay it off every month during the intro APR period: pay the minimum for the first N statements, then pay the full balance, and you'll pay $0 in interest or fees.
Just don't forget, because if you're late paying off the balance they will usually charge interest retroactive to the opening date of the account (not sure that is the case in this specific example).
If one is worried about forgetting, this probably isn't a good hack, but it should be possible to (a) buy a T-bill or CD maturing near the balance due date and (b) use Bill Pay to schedule a payment for the balance due.
It's always good to understand what the policy is on an offer like this, but most credit card intro rates are not like this - it is typically store charge accounts that offer "12 months same as cash" that accrue interest and add it if not repaid during the time offered.
PayPal Credit (a specific credit line) does that. Discover, Wells Fargo, Chase, Capital one, all wanted to start interest from the date intro apr ended.