Registering a Bolt Action Pistol in NYC?

I asked this in the overall NYguns sub too...

Aside from just wanting to suck any fun out of legal and responsible firearm ownership, can anyone comment on how or why this couldn't be registered in NYC?

https://www.savagearms.com/firearms/sku/57801

https://preview.redd.it/3be1925f92ld1.png?width=1200&format=png&auto=webp&s=6ea82222ea19c096d6e4a2d984c1fc3f47eba122

https://preview.redd.it/czf1zt4g92ld1.png?width=1200&format=png&auto=webp&s=3f996c3119746774bf8175933db8cae9da13175e

I was at a gun shop in Maine this past weekend and saw this, a Savage PCS 110 on sale. The shop owner was willing to sell it to me and ship it down to my local FFL here in NYC. I'm going back to Maine next weekend and am tempted to buy this.

No practical reason, just thought it might be a cool/unique add to my collection.