Under circumstances prescribed in this section, a criminal action based upon an information, a simplified information, a prosecutor’s information or a misdemeanor complaint may be removed from one local criminal court to another:
Upon providing notification pursuant to paragraph (a) or (b) of this subdivision, the problem solving court shall promptly give notice to the defendant, his or her counsel and the district attorney.
N.Y. Crim. Proc. Law ยง 170.15