Hello, Flogobo.
I understand that your iPod Shuffle isn’t being recognized by iTunes on your PC. I want to help you get back to your content.
The Apple Support article you worked through was a great place to start. Trying on another computer was an excellent isolation step. With your iPod not being detected on this other computer, there may be an issue with the iPod itself. One thing I did want to know is if you were able to try with an alternate cable.
I would also recommend that you delete iTunes and reinstall it.
Remove and reinstall iTunes and related software components for Windows 7 and later
If removing and reinstalling doesn't do the trick, based on the troubleshooting steps you have already performed, I would go ahead and contact Apple Support for service options.
I hope this helps.
Be Well.