Based on what I have seen in Console.app, The install error is due to the InstallerAssistant.pkg file not being available on the servers. Here is the exact error that I have:
PrefPane: installDidFinishWithError - 001-79699: Error Domain=SUOSUErrorDomain Code=200 "Installation failed" UserInfo={NSLocalizedRecoverySuggestion=An error occurred while installing the selected updates., NSLocalizedDescription=Installation failed, NSUnderlyingError=0x60000103af10 {Error Domain=PKDownloadError Code=8 "(null)" UserInfo={NSUnderlyingError=0x60000103bc30 {Error Domain=NSURLErrorDomain Code=-1102 "(null)" UserInfo={NSErrorFailingURLStringKey=http://swcdn.apple.com/content/downloads/50/49/001-79699-A_93OMDU5KFG/dkjnjkq9eax1n2wpf8rik5agns2z43ikqu/InstallAssistant.pkg, PKURLTransportErrorStatusCodeKey=403, PKURLTransportErrorResponseHeadersKey={
Connection = "keep-alive";
"Content-Length" = 407;
"Content-Type" = "text/html";
Date = "Thu, 12 Nov 2020 21:02:35 GMT";
Expires = "Thu, 12 Nov 2020 21:02:35 GMT";
"Mime-Version" = "1.0";
Server = AkamaiGHost;
"X-Cache" = "TCP_DENIED from a104-123-159-69.deploy.akamaitechnologies.com (AkamaiGHost/10.2.0.2-31441410) (-)";
}, NSUnderlyingError=0x60000103bde0 {Error Domain=NSURLErrorDomain Code=-1102 "(null)" UserInfo=0x600000b91e40 (not displayed)}}}}}}
And this is after the update took 3 hours to download. So, there is currently no way to install macOS Big Sur, even if you are able to download it.