Hi
The 8HVX7 ending matches Windows Home’s generic installation key. This suggests the registry recovery returned a generic key rather than your original retail key. It cannot activate Windows by itself, even when slmgr shows “RETAIL.”
If you already tried “I changed hardware on this device recently” and selected your previous PC, I recommend contacting Microsoft Support through https://support.microsoft.com/en-us/contactus. Sign in, select Windows, and describe the activation failure after replacing your motherboard.
Explain that your digital licence was linked to your account but the original retail key sticker is lost. Have any purchase receipt available, and confirm your original licence was for Home, matching the current “Core edition.”
I would have support review your existing licence before buying another copy. Reactivation may still be possible, but cannot be guaranteed without validating the licence.