Computer Configuration > Administrative Templates > Microsoft Edge Update > Applications
Machine
HKLM\Software\Policies\Microsoft\EdgeUpdate
Lets you specify the default behavior for all channels for creating a desktop shortcut when Microsoft Edge is installed. If you set this policy to "Force delete system-level Desktop Shortcuts" (1), any existing system-level Microsoft Edge desktop shortcuts will be deleted when the browser updates or the machine reboots. If you set this policy to "Force delete system-level and user-level Desktop Shortcuts" (2), any existing system-level Microsoft Edge desktop shortcuts will be deleted when the browser updates or the machine reboots and any existing user-level desktop shortcuts will be deleted when the browser updates. This includes user-level desktop shortcuts that users might have made themselves. If you don't configure this policy or disable it (0), nothing will happen to existing Microsoft Edge desktop shortcuts.