Hi @Kevin
Please try repair your Office in Control Panel again, then right-click one Office desktop icon, run it administrator, check whether you can activate it.
Besides, is there an option that activate by Phone, if so, I suggest you try it.
Or you can enter your product key via following CMD commands which are for 64-bit Office 2013. For more, please refer to: https://community.spiceworks.com/t/fix-unlicensed-office-2013-error/1007964
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CD %ProgramFiles%\Microsoft Office\Office15
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cscript.exe ospp.vbs /inpkey:AAAAABBBBBCCCCCDDDDDEEEEE
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cscript ospp.vbs /act
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cscript.exe ospp.vbs /dstatus
If nothing helps, please re-install your Office.
Reference: Download and install or reinstall Office 2019, Office 2016, or Office 2013
You may try to enter your product key in: https://www.microsoft.com/en-gb/microsoft-365/get-office-and-microsoft-365-oem-download-page?ms.officeurl=getoffice. Check whether you can download the Office 2013 installation file.
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