One thing that makes a project good is knowing what it does, I’ve seen quite a few projects where they talk about all the features and technology and how to configure it but not a word about what it actually does, what problems it solves and so on.

I won’t self host your program if you don’t even tell me what it does, don’t make me search and clue together large parts of the documentation just to find if I want it. A simple explanation is enough but somehow I’ve seen quite a few programs that don’t have it.

DNS turns a domain name into an IP which can then be used to send data through your router, a dns server is the server which is used to do this conversion (www.google.com turns into an IP 1.2.3.4 (that isn’t the actual IP of google)).

There are many dns servers, normally your local devices use your router as the dns server, which forwards it to your ISP which they further transfer it over global dns servers.

Alternatively you could use Google’s DNS server (8.8.8.8) or cloudflares DNS server (1.1.1.1) but if the one on your router works then just use it.

nameserver is the same as DNS server

Tldr: set the router IP as your dns server, you only need this one.

…that’s the valid response, does ping www.google.com work and curl www.google.com return a bunch of text?

If ping www.google.com doesn’t work then your system isn’t using the correct dns server, though your local dns server works (as seen by the prior dig).

If curl works then…you have a working internet connection, maybe check the browser settings for proxy or something.

That seems correct, don’t change anything in there, try the command dig @<routerip> www.google.com or nslookup www.google.com <router ip> if the dig command is not found.

No one can ping 4.4.4.4, it doesn’t answer pings.

This seems like a dns issue, check cat /etc/resolv.conf and try setting the dns server in Networkmanager to “8.8.8.8”.