4013 error message when trying to restore ipad

This support page makes reference to 4000-series errors:

If you see error 9, 4005, 4013 or 4014 when you restore your iOS device – Apple Support

Click here and follow the instructions. If they don't fix it, use the 'contact us' link.

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None of the recommendations worked for me. Even went to the Genius Bar and they said it can’t be fixed but wouldn’t tell me what was wrong.