Until New York Governor, Kathy Hochul (D) selects a New Lieutenant Governor, Senate Majority Leader, Andrea Stewart-Cousins (D-35th District), will assume the Duties of that Office, including serving as Governor when Hochul is Out-of-State.
A 2009 New York Court of Appeals Ruling, determined that the Governor can Appoint a New Lieutenant Governor, if that Position is Vacant.
The educated quess is she will pick the Person from New York City.
NYC Wins When Everyone Can Vote! Michael H. Drucker