As RC Mike stated: Responsible for any warranty issue is your official PRS dealer - and no one else.
He purchased PRS items from PRS Sales to sell it to customers. The only direct address of PRS factory is their webshop to buy accessories.
A few of the crucial prerequisits to fall under warranty are being the original owner and that the guitar was new, not second hand.
You reported it new, you'll hopefully likely show the bill as a piece of evidence to the dealer.
Wear is excluded from warranty, therefore the dealer's expertise is necessary, that confirms that this damage didn't occur by your usage predominately but by faulty coating/manufactoring.
Though you state the guitar is played very rarely, that doesn't answer, if the damage was already there or in which circumstances or when it happened.
Less playing asumes, that you would like exclude yourself (or a third person) from responsbility. The damage appears like a dent, which is typical for having hit in unconciousness a hard item (corner of a table, sideboard). This is not caused by fingers on the fretboard.
Less playing doesn't prevent from severe accidents, does it?
In the honeymoon period of my first 2011 PRS 513 MT I played it upright, the PRS strap was attached. While strumming the strap slipped off the pin, the guitar dropped. I was reactive to grab the neck within a glimpse of an eye but I wasn't quick enough to prevent it from ground contact. Good was, between marble tile and wood (frame) was the angle connector of the guitar cable, bad was, that the connector dented the coating/wood.
My fault, not covered by warranty. The first scar is always painful.
A few weeks later a pistol magazin fell off my bookshelf, and accidently the 513 stood in a stand in the fall line and was hit slightly, but enough to earn a chip on the edge of the frame.
That all been said: As long there is no evidence of the dealer's or manufacturer's responsibility for the damage, it's first no warranty coverage, second a repair on your own expenditures, and third to blame PRS Customer Service for an answer, that made you disappointing.
I agree that this damage affects playability and function more than my mentioned damages (on a way more expensive core model

), hence the need for damage repair is obvious.
Asuming the damage isn't falling under warranty cover, take it to a skilled luthier or your dealer for repair. It's cheaper and faster.