N.Y. Comp. Codes R. & Regs. tit. 11, § 262.3
(a) Subject to the provisions of subdivision (b) of this section, legal services insurance may provide coverage for the insured's costs of legal representation:
(2) in litigation where the remedies or relief sought are non-pecuniary in nature.
(b)
(2) The policy shall not provide coverage for an insured that institutes or initiates the proceeding or litigation where the insured is: