Is there a requirement to update Intel NUC BIOS after 4 years of successful operation?

UEFI or Legacy were options in BIOS when setting up the NUC so is already there, just depends on which one you (or whoever set it up) selected.
The link above to step 2B of rock install guide should show you how to get into the BIOS to see what you are running.
Or as Wade said check the webUi for tailscale:

I don’t know all the specifics fixes and features but, there was a bug fix for some HDMI outputs on NUCs: