Your BIOS looks fine. It shows the 1 TB HDD & even is set to boot to it. So, no need to open the box. I can't understand why it won't show up in DiskPart. I guess, yeah, make a new Win 10 Installation USB using the Media Creation Tool here...
https://www.microsoft.com/en-us/software-download/windows10
Download Win 10 -- always the latest version, currently 21H2
Download MediaCreationTool21H2.exe & run it to make a Windows 10 Installation USB drive. Follow the instructions under "Using the tool to create installation media". As it says, match it to the Language, & Architecture(x64/64-bit or x86/32-bit) of the computer on which it will be used. The Windows Editionto take is "Windows 10", which includes both Home & Pro.
Then, boot to it. Choose to "repair your computer" (instead of to install). That will reboot to its recovery environment. Get to its Command Prompt -- & try that DiskPart again. Hopefully, the HDD will show up. I want to know where the partitions are to do a proper RebuildBCD or a BCDBoot.