There's a task in Windows Task Scheduler called "SilentCleanup" which, while it's executed as Users, automatically runs with elevated privileges. When it runs, it executes the file %windir%\system32\cleanmgr.exe. Since it runs as Users, and we can control user's environment variables, %windir% (normally pointing to C:\Windows) can be changed to point to whatever we want, and it'll run as admin.
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