N.Y. Election Law § 8-704
* § 8-704. Early mail ballots; delivery of. 1. If the board finds that the applicant is a registered voter of the county or city at the address listed in the application, the applicant is eligible to vote in the election at issue, and the application is otherwise sufficient, it shall, as soon as practicable, mail to the applicant at an address designated by them, or deliver to them, or to any person designated for such purpose in writing by them, at the office of the board, an early mail ballot or set of ballots and an envelope therefor. If the ballot or ballots are to be sent outside of the United States to a country other than Canada or Mexico, such ballot or ballots shall be sent by air mail.