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I'm in the process of trying to lock down a computer and was having an issue with task manager not opening from the Windows Security screen. I had the Task Manager executable white-listed in the GPO settings so I could open it from everywhere but the Control+Alt+Delete Screen. Logoff and the other options worked fine.
I checked the event viewer and saw that LaunchTM.exe was being blocked. White-listed it and everything is working as intended now. So just in case someone else has the same issue in the future, here it is.