I wasn't aware that they had already issued an order dismissing your complaint. In order to prevail on the claim that a mental illness prevented you from understanding that you had a potential case, and that therefore the time limit to file ran out you need to establish that mental incapacity with medical proof in an admissible form. In your motion to renew and re-argue you need to provide the admissible medical proof to establish why you should have the benefit of a toll of the statute of limitations.
There is no claim in New York if you are an employee at will. Unless you can prove a hostile work environment or another form of discrimination you cannot pursue a wrongful termination claim.