N.Y. Comp. Codes R. & Regs. tit. 22 § 1250.2 : JUDICIARY — Courts — Supreme Court — All Departments —Part 1250 — Settlement or Withdrawal of Motion, Appeal or Proceeding; Notice of Change in Circumstances

(a) Withdrawal of Motion. A moving party may file a written request to withdraw a motion at any time prior to its determination.
(b) Withdrawal or Discontinuance of Appeal or Proceeding.
(1) Unperfected appeals, or proceedings where issue has not been joined, may be withdrawn and discontinued by letter application to the court, with service on all parties.
(2) An appeal that has been perfected or a proceeding where issue has been joined may be withdrawn and discontinued by leave of the court upon the filing with the court of a written stipulation of discontinuance signed by the parties or their attorneys and, in criminal appeals, by the appellant personally. Absent such a stipulation, an appellant may move for permission to withdraw such an appeal or proceeding. An appeal that has been perfected in the Second Judicial Department and in which no respondent's brief has been filed may be withdrawn by letter application to the court, with service on all parties.
(c) Notice of Change of Circumstances. The parties or their attorneys shall immediately notify the court when there is a settlement of a matter or any issue therein or when a matter or any issue therein has been rendered moot. The parties or their attorneys shall likewise immediately notify the court if the cause should not be calendared because of the death of a party, bankruptcy or other appropriate event. Any such notification shall be followed by an application for appropriate relief. Any party or attorney who, without good cause shown, fails to comply with the requirements of this subdivision may be subject to the imposition of sanctions.

N.Y. Comp. Codes R. & Regs. Tit. 22 § 1250.2

Adopted New York State Register October 31, 2018/Volume XL, Issue 44, eff. 9/17/2018