I have been having the same issue for the last two days.
I've done all the steps, all the removal tools, all the reboots, all the complete uninstall and reinstalls.
I thought I had it figured out after running this script to do a deep uninstall, following the additional steps and reinstalling:
https://github.com/jimye/OfficeUninstall
Was working fine and was adding everything back, when I got a popup message like this:

And boom I'm back in the same boat:

This is beyond frustrating folks - I've wasted hours on this over the past couple of days and Office is unusable.
Microsoft Support team please help!
Thanks for everyone's continued assistance.
Steve