Saved Advanced Search reports can be edited, which allows changes to be made to the Report Name, Description, and Share Report toggle.
To edit an Advanced Search report:
Locate the report in the Load Report dropdown.
Click the three-dot menu and select the Edit option.
The Edit Report window will display with the existing Report Name and Description pre-filled.
Make any necessary changes and click the Save button.
NOTE: Changes to your saved search name will overwrite the active saved search on refresh.