NY CPLR § 5602 (2021)
2021 New York Laws CVP - Civil Practice Law and Rules Article 56 - Appeals to the Court of Appeals 5602 - Appeals to the Court of Appeals by Permission.

§  5602. Appeals to the court of appeals by permission. (a) Permission of appellate division or court of appeals. An appeal may be taken to the court of appeals by permission of the appellate division granted  before application  to  the  court of appeals, or by permission of the court of appeals  upon  refusal  by  the  appellate  division  or   upon   direct application.  Permission  by  an  appellate division for leave to appeal shall be pursuant  to  rules  authorized  by  that  appellate  division. Permission by the court of appeals for leave to appeal shall be pursuant to  rules  authorized  by  the  court  which shall provide that leave to appeal be granted upon the approval  of  two  judges  of  the  court  of appeals. Such appeal may be taken:   1.  in  an  action originating in the supreme court, a county court, a surrogate's  court,  the  family  court,  the  court   of   claims,   an administrative agency or an arbitration,  (i)  from  an order of the appellate division which finally determines the action and which is not appealable as of right, or  (ii) from a final judgment of such court, final determination of  such agency  or final arbitration award where the appellate division has made an order on a prior appeal in the action which necessarily  affects  the final   judgment,   determination  or  award  and  the  final  judgment, determination or award  is  not  appealable  as  of  right  pursuant  to subdivision (d) of section 5601 of this article; and   2.  in  a  proceeding  instituted  by  or  against  one or more public officers or a board, commission or other body of public  officers  or  a court  or  tribunal,  from an order of the appellate division which does not  finally  determine  such  proceeding,  except  that  the  appellate division  shall not grant permission to appeal from an order granting or affirming the granting of a new trial or hearing.  (b) Permission of appellate division. An appeal may be  taken  to  the court of appeals by permission of the appellate division:   1.  from  an  order  of  the appellate division which does not finally determine an action, except an  order  described  in  paragraph  two  of subdivision  (a)  or  subparagraph (iii) of paragraph two of subdivision (b) of this section or in subdivision (c) of section 5601;   2. in an action originating in a court other than the supreme court, a county court, a surrogate's court, the family court, the court of claims or an administrative agency.  (i) from an order of the appellate division which  finally  determines the  action,  and  which  is  not  appealable  as  of  right pursuant to paragraph one of subdivision (b) of section 5601, or  (ii) from a final judgment of such court or a final  determination  of such  agency  where  the appellate division has made an order on a prior appeal in the action which necessarily affects  the  final  judgment  or determination  and the final judgment or determination is not appealable as of right pursuant to subdivision (d) of section 5601, or  (iii) from an order of the appellate division  granting  or  affirming the  granting  of  a new trial or hearing where the appellant stipulates that, upon affirmance, judgment absolute shall be entered against him.