N.Y. Comp. Codes R. & Regs. tit. 6, § 621.6
(c) The department must mail notice of its determination of completeness or incompleteness to the applicant for:
(f) Failure of the applicant to respond in writing to the department's notice may result in the application being deemed withdrawn without prejudice pursuant to the procedures in paragraphs (1) and (2) of this subdivision.