Computer Configuration > Administrative Templates > Microsoft Edge
Both
HKLM\Software\Policies\Microsoft\Edge
OBSOLETE: This policy is obsolete and doesn't work after Microsoft Edge 119. This policy is obsolete due to the deprecation of the Web widget, which is now known as Edge search bar. Admins should use SearchbarIsEnabledOnStartup for Edge search bar instead. Allows the Search bar to start running at Windows startup. If you enable this policy the Search bar will start running at Windows startup by default. If the Search bar is disabled via 'WebWidgetAllowed' (Enable the Search bar) policy, this policy will not start the Search bar on Windows startup. If you disable this policy, the Search bar will not start at Windows startup for all profiles. The option to start the Edge search bar at Windows startup will be disabled and toggled off in Microsoft Edge settings. If you don't configure this policy, the Search bar will not start at Windows startup for all profiles. The option to start the Edge search bar at Windows startup will be toggled off in Microsoft Edge settings.