N.Y. Comp. Codes R. & Regs. tit. 9, § 4064.10
At meetings held by hunt and similar organizations, a rider holding the above special permission to train may ride horses other than those under his or her control or supervision as trainer, but when a horse trained by a rider is entered in a race, such rider shall not be permitted to ride any other horse entered in the same race, except by permission of the stewards and only for a reason in keeping with the best interests of racing.