Can’t connect to the Apple Software Update server

Last night I started downloading the MacOS Ventura update, but when it got to “5 minutes remaining” it stayed like that for a long time and eventually I stupidly just hit the cancel button. I don’t know why I did that but I was half asleep. Then the symbol changed and the “5 minutes remaining” disappeared, it was still kind of loading something but it was grayed out, I don’t really remember. I wasn’t sure what to do and just closed my laptop.

This morning I opened it and looked at General > Software Update and saw “Unable to check for updates; Can’t connect to the Apple Software Update server.” I tried to look up that phrase on the Mac but internet is not working on my Mac anymore even though I’m connected to WiFi which works fine.

I booted in Safe Mode and it still showed the same message in General > Software Update.

I booted in Recovery Mode and tried to reinstall Ventura from there, left it for 2 hours to download and then came back and hit enter, typed in my password, and then looked in General > Software Update, and same message. Later I went back into Recovery mode and ran First Aid on the disk, still no change.

I tried installing the update through the terminal with <softwareupdate --fetch-full-installer --full-installer-version 13.5.1> (saw that suggested) and the error was: <Scan finished with error: Error Domain=NSURLErrorDomain Code=-1003 “Can’t connect to the Apple Software Update server.”> I would put the whole output but I’d have to take a picture or manually type it because my Mac can’t airdrop, message, etc.

Are there any other ways of fixing the issue without having to erase all my data? I do have an external hard drive (I think 1 TB), I guess I could erase the hard drive and put all my Mac data on there?