Applications are already accepted
https://dol.ny.gov/EWFApplyAccording to the FAQ the eligibility requirements are:
Lived in New York State before March 27, 2020, and continue to live in New York State;
Are not eligible for and did not receive unemployment insurance or any other COVID-19 income relief or other specified benefits from the state or federal government;
Earned less than $26,208 in the 12 months prior to April 2021; and
Lost at least 50% of weekly work-related earnings or household income at any point in time between February 23, 2020 and April 1, 2021 due to total or partial unemployment, or inability or unavailability to work due to the COVID-19 pandemic
or, became responsible for a majority of their household income due to death or disability of the head of household.
Am I eligible because my spouse who provides a majority of the income was disabled during this time due to the birth of a child?