Follow-up note:
I Googled the error and got to a Microsoft Live support site. This annoying window follows the screen, asking I want to chat. I chose to do so.
The window advised that they were reviewing my concern and would get to me shortly. That is interesting because I never was asked to enter the concern. There was also no progress bar to let me know I was actually in queue.
So, I have a dead product that cannot be activated with no support available. It works very well on my desktop but this laptop is mostly useless without it.
Microsoft strikes again.
UPDATE:
Microsoft Live's support site recommended going to Control Panel and running a repair. I did, and it re-installed the program. I was then taken through the license process. It still fails with this error:
We're sorry, something went wrong and we can't do this for you right now. Please try again (0x80070005).
This really sucks.