That's it! I confirmed that if I manually started the 'Windows Modules Installer' service (AKA TrustedInstaller) that the 'UNINSTALLCENTENNIAL' task finishes within a short period of time. I played around with the service and determined that it normally doesn't run (set to 'Manual' startup) and launches when needed or requested, but for some reason the Office task isn't telling it to do it, at least not during computer startup. I attempted to start the service before running the task, but the service shuts down after 2 minutes of inactivity and it usually takes longer than 2 minutes to get to that point in the installation, so I'll give your background task a try. I even tried to set the service to 'Automatic' temporarily but it still shuts down after 2 minutes, and in fact, even changes the startup type back to Manual as soon as it starts.
Thank you SO much for responding! As to your question, I normally have the 'Display Level' set to 'None' when I'm doing our installs, but I did change it to 'Full' while I was testing things, though it made no difference of course to the outcome.