New York Consolidated Laws, Uniform City Court Act - UCT § 408. Summons; service outside county to bring in certain additional parties

(a) a third-party defendant as set forth in CPLR § 1007;

(b) a person not a party against whom a counterclaim is asserted pursuant to CPLR § 3019(a);

(c) a person not a party against whom a cross-claim is asserted pursuant to CPLR § 3019(b);

(d) a claimant whom a defendant stakeholder seeks to bring into the action pursuant to CPLR § 1006(b); and

(e) a person whom the court has ordered joined as a party pursuant to CPLR § 1001.