I added the DNS server in the System-Settings, but it doesn’t appear to propagate (I also tried setting the method to manual and automatic (only addresses)) ?
( nmcli dev list || nmcli dev show ) 2>/dev/null | grep DNS
IP4.DNS[1]: 192.168.0.1
IP6.DNS[1]: 2a02:8070:b590:ca00:6e63:9cff:fe4a:65f5
192.168.0.1 is the router. There is no DNS-Server setting on that router.
Problem is I cannot resolve slack.com from my Desktop or phone when connected to said router, but I can resolve it when using mobile internet, hence why I am trying to change the DNS-server.
The above message should give hints. The NetworkManager GUI should have the option to set the DNS. Your setting is the “alternative” servers that are probably not used as the primary server.
The first answer has the instructions in the first link.