With IPv4, assuming you have a residential contract without cgnat, your router has your ip. Loosely your device calls your public ip, realizes it is not on your local network, and sends it to your router. The router will nat it, and send it to its own internet-facing networking side, where the same router will realize that the target ip is the ip of it’s own interface and will immediately accept it. Then it is handled like any other packet arriving from the internet, presumably port forwarded to some internal machine.

So we expect one hop to the router, then one internal hop from the private to the internet-facing interface of the router, and then presumably another internal hop back to the private network interface and another proper hop to the server on your lan.