Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Here's an update.
I have completely re-installed MACOS Mojave 10.14.5 - I did a cold install off the update servers - restarting the MAC with "R" gives you a utility screen where you install "cold" offf the internet connection.
This action did not seem to affect the problem at all.
I went upstairs to another laptop identical to mine running Mojave 10.14.5 and the auto-update on Office 365 worked fine with the new update 16.27 - no wrinkles.
I also hardwired by laptop to the internet - I got rid of the WIFI connection and went straight to modem. This didn't help at all either.
In a previous update, I had complete removed office and re-installed from scratch. Someone had me go laboriously through a list of folders and files to remove everything. I re-installed the latest version of office, however, at that point, the new version was installed and so MAU no longer told me I needed an update and my testing was over until the next version arrived which is now 16.27 and so replacing the entire MS Office package didn't work either.
Looking for new ideas.