That would be Student Completion Certificate, and that will be valid for a two years period, unlike your Pre-licensing that only is valid for one year.
One more thing for New York residents. What happens if anyone drives without a driver's license in New York State?
A police officer can use this as evidence to issue a traffic ticket if you drive in New York State without a New York State driver's license or vehicle registration.
What happens if I pay taxes or my children attend school in another state?