§ 1101 Incumbents The office of public administrator within the counties of the city of New York hereby is continued

This rule keeps the office of public administrator running in the counties that make up New York City. A public administrator is the person who handles an estate when someone dies without a will and there's no family member or other person available to manage things.

The rule also says that whoever is already serving as public administrator when this law starts stays in their job. They don't lose their position just because the law changed. They keep working until their term ends naturally or until they leave the job for some other reason, like resigning or passing away.

In short, this rule is about keeping things stable. It makes sure the office continues to exist and that current officeholders aren't forced out just because of this new law taking effect.