Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
As people have pointed out, finding the product key is a pointless exercise as it seems Microsoft will prevent it from being used again (though the fair action when removing "Proof of Purchase" would be to splat the record that it has been used).
On examining another installation of Office 2016, it appears that the Repair deletes a whole swag of Registry entries and shifts folders to \Program Files (x86)\Microsoft Office\root (though this could be due to comparing the 32bit version with the 64bit). So I attempted to replace the Registry entries and the program files into their proper places to no avail. I now have given up and instead Remote Desktop to a workstation which has the software I need, from my laptop (which is the one that had Office 16 immobilised by Microsoft)
The moral of the story is to create a full system restore point before embarking on a software upgrade, even when in response to an invitation from Microsoft.
Many thanks to the MVP's which responded to my initial request for assistance.
Regards
Pete