First, the controlling case law on the subject is Cleophus P. v. Latrice M.R., 299 A.2d 936 (App. Div. 2003) and Sarah S. v. James T., 299 A.2d 785 (App. Div. 2003).
Unfortunately, for you, although the statue of limitations on establishing paternity is 21 years, there is no such protection for Disestablishing paternity.
In fact, under new York law, you had 60 days from the date of the last determination of paternity, (the court order afixing you as the father) to file a petition for disestablishment.
Also, you face the additional problem of the AOP. (Acknowledgement of Paternity). Again, there is a 60 day window to rescind the AOP which did not happen here.
Therefore, the case falls under the Collateral Estoppel rule. In plain language, if you sit on your rights to a thing, eventually by your inaction, the right ceases to exist.
I see no way currently in the New York jurisdiction to file for and win a disestablishment of paternity suit at this late time.