N.Y. Comp. Codes R. & Regs. tit. 22, § 200.26
(b) If the defendant appears at such time without counsel, the court shall:
(c) Where it appears, pursuant to paragraph (b)(2) of this section, that the defendant is financially unable to obtain counsel, the court shall, prior to issuing a securing order fixing bail or committing the defendant to the custody of the sheriff, assign counsel. Such assignment shall be in accordance with the plan for representation adopted by the county pursuant to County Law, section 722, and shall, in accordance with such plan:
(3) designate a named attorney to represent the defendant.
Where assigned counsel is not present in court at the time of the assignment, the court may issue such securing order in the absence of counsel, and in such case shall provide the defendant, in writing, with the name, business address and telephone number of such assigned counsel, or of the administrator of the assigned counsel program or director of the local public defender office or legal aid society, as appropriate. Upon issuing such securing order in the absence of counsel, or, if not practicable, within 24 hours thereafter, but no later than 48 hours thereafter if extraordinary circumstances so require, the court shall notify such counsel, administrator or director, as well as the director of the local pretrial services agency or head of the pretrial services unit of the county probation department, if any, by telephone, and in writing or by written fax, of the court's assignment, and shall include in such notification the defendant's name, the names of any codefendants, the charge or charges contained in the accusatory instrument, the docket or case number, if available, the adjourn date and time, the terms of the securing order and such other information as the court deems appropriate. The court shall include with such written or faxed notification to such counsel, administrator of the assigned counsel program or director of the local public defender office or legal aid society a copy of the accusatory instrument.
(f) Nothing contained in this section shall be deemed to preclude the court from: