N.Y. Comp. Codes R. & Regs. tit. 4 § 212.5
Any party shall be entitled upon request made before the close of the record to file as directed by the administrative law judge a brief or proposed findings of conclusions of fact, and conclusions of law, or both, within such time as fixed by the administrative law judge. The administrative law judge may direct the filing of briefs when the submission of briefs is warranted by the nature of the proceeding or the particular issue therein. Any such brief or proposed findings and conclusions of fact and conclusions of law filed with the administrative law judge must be accompanied by proof of service of a copy thereof upon all other parties. Reply or supplemental briefs, however denominated, will not be permitted without prior request to an approval by the administrative law judge. Such requests will not be approved unless the opponent's brief properly raises issue for the first time which are material to the disposition of the matter.
N.Y. Comp. Codes R. & Regs. Tit. 4 § 212.5