I just applied last week for the same thing. This is the email I received from NYS with instructions.
What you are requesting is a certification. This is a document other
states, certifying agencies or jurisdictions may require to confirm a
New York license. It is the official statement of the basis of
licensure and includes a licensee*s name, profession, license number,
date of birth, registration status, professional school attended,
professional examination results, and any conditions or restrictions.
Certifications will be issued only at the request of the licensee for
submission to another licensing authority. Certifications must be
requested in writing. Be sure to include your name, profession, license
number, date of birth, and the address to which the certification should
be mailed, as well as any forms, which must accompany the information.
There is a $20.00 fee for each certification; the check or money order
should be made payable to the NYS Education Department.
Mail your request(s) along with the required fee(s) to:
Office of the Professions, Division of Professional Licensing Services,
Certification and Verification Unit, 89 Washington Ave., Albany, NY