This City & State newspaper story explains why New York’s Lieutenant Governor Brian Benjamin is almost certain to remain on the June primary ballot, despite his recent indictment.
Two other candidates are on the Democratic ballot, David Englert and Diana Reyna.
Hochul should file as an independent/new party, with a different LTG candidate. Then she should get off the Democratic ballot and the Democratic not choose a replacement. The Democratic Party would be disqualified. The new party could then rename itself the Democratic party.