If you try the update and it really is an upgrade to Big Sur, that may not work anyway.
Especially if your MacBook Pro is not listed as compatible for 'Big Sur' macOS11.x
But from what I've found after several intensive searches, including Apple's database:
I've seen no such animal: No macOS 10.15.8 in the wild; or walked in a park on a leash.
The download installer links "How to get old(er) versions macOS..." download article
gets you the last full download; even newer security updates could now be included.
And there's also a 'bootable installer' download article; that downloads a last Catalina.
That's not generally used, except for situations where no other installer works.
Nothing's wrong with your Mac; mine are older. With exceptions, once Safari browser
goes out-of-date, one could get other good browsers; such as Brave, or Firefox, & etc.
A good idea is to keep an older system and its Mac, as a backup configuration.
..At some point more volunteer contributors may appear, & state an opinion..