No I'm at my PC, so:

The link to to Read Write Everything:
https://rweverything.com/
It can Read/Write almost erverything related to motherboard hardware components in BIOS. However sometimes it crashes.

The necessary Registry modification for it to work:
[HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Control\CI\Config]
"VulnerableDriverBlocklistEnable"=dword:00000000

The table with the Keys is called MSDM - it appears only, if BIOS has a license key inside.

Another useful piece of soft is Windows 10 Product Key...

I'm no expert in BIOS modyfying, but my impression is that your approach is too complicated. I'd rather would try to transfer only the licence key from the defective board to the working one, so the most small amount of data, instead of what you are doing. The business pc vendors like Dell, HP, Lenovo do lot of security magic in the bios'es unlike vendors like ASUS, MSI, GIGABYTE or ASROCK. I know that at least DELL pairs bios'es with chipsets burning some fuses in the chipsets at production finalizing, so you can't swap bios images between two same type, but different copies of the boards. Maybe...