How to get by -1008F error

I got a long error code after a crash in Safari (thread here: https://discussions.apple.com/thread/252472598 ), and decided to reinstall, so I started with cmd+r and deleted the disk in disk utility.

Every time I try to start reinstalling, it is either a folder blinking with the link support.Apple.com/Mac/startup

If I try to start with cmd+r again, after logging into the network and loading for a while, I get this image:

Does this mean I need to bring it to an Apple Store for support, or is it an easy fix?