Nucleus appearing twice in Finder

No, leave the Nucleus on using DHCP, else there will just be more havoc.
The Nucleus is the DHCP client here, it just asks the router‘s DHCP server to provide an IP (and other stuff like what the DNS is).

The DHCP server and what it does is configured on the router. I.e., configure it to reserve an IP for the Nucleus, so that it always hands out the same one