Can't Remotely Connect To Python Socket

I have created a chat application using python sockets and Tkinter and it all works perfectly locally however the Client is unable to connect to the server remotely (when I enter m

Solution 1:

I'm at home so there's no firewalls running on my network at all.

That comment was the missing piece to solve your problem. You actually don't connect from remote as your question implies but you try to connect from inside your local network to the externally visible address of your router.

Such a setup is supported by some routers and not by others. It looks like you router does not support it. For more information on this see NAT hairpinning (or NAT loopback).