N.Y. Comp. Codes R. & Regs. tit. 10, § 800.12
(b) The applicant must:
(3) have successfully completed:
(6) if the applicant has been convicted of one or more criminal offenses, as defined in section 800.3(ak) of this Part, be found eligible after a balancing of the factors set out in article 23-A of the Correction Law. In accordance with that article, no application for a license shall be denied by reason of the applicant having been previously convicted of one or more criminal offenses unless: