This. I had the same problem with my 7700K. It's purely the CPU generation, so you are effectively stuck on Windows 10 unless you want to try an unofficial workaround.
+1 You could also check if your motherboard has a TPM 2.0 module you need to enable in the BIOS. Another option is using the official Media Creation Tool, which sometimes bypasses the Health App's block.
Yeah, You could also try the Windows 11 Installation Assistant directly from Microsoft's website. Another option is to check for any critical firmware updates for your motherboard from the manufacturer.