The logs seem to indicate that the game cannot contact the back end servers

I would look into your anti-virus/firewall to ensure that it is not blocking the game from reaching those servers

try changing your DNS settings to OpenDNS or Google DNS.

Please see if anything here can help: https://support.fatshark.se/hc/en-us/articles/7709665369501--PC-How-to-Resolve-Darktide-Launcher-Issues