N.Y. C.P.L.R. § 3011

§ 3011. Kinds of pleadings. There shall be a complaint and an answer. An answer may include a counterclaim against a plaintiff and a cross-claim against a defendant. A defendant's pleading against another claimant is an interpleader complaint, or against any other person not already a party is a third-party complaint. There shall be a reply to a counterclaim denominated as such, an answer to an interpleader complaint or third-party complaint, and an answer to a cross-claim that contains a demand for an answer. If no demand is made, the cross-claim shall be deemed denied or avoided. There shall be no other pleading unless the court orders otherwise.