Why am I seeing (New) appended to my saved search name?

You migrate data from your source environment to your target environment using Configuration Set Migration (CSM). If you create a public saved search in your source environment with the same name as an existing private saved search in your target, then (New) gets appended to the public saved search in your source environment after the data migration completes.

To avoid (New) being appended to your saved searches, ensure that there's no public saved search in your source environment with the same name as a private saved search in the target area.