Conenct your Printer via Cable and give it an IP address on your Network. This should not be DHCP unless you are using intergrated DNS in your network. Not likely from what you have stated above.
Once you have a IP then you should install the Printer configuration software on a PC (you might need to do this before you add the IP to the printer as some do not have an interface to set network config). This will auto detect the Printer and allow connection. Once this has been done then either configure the printer as a share or configure each machine for direct access to the print. This will depend on the rest of your network.
Note: if you can remove your external IP……
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