Update player nick from serverside as well

rust/src/net/network_manager.rs

@@ -301,7 +301,14 @@ impl NetworkManager {
                 PeerKind::Client(peer, addr) => {
                     peer.send_reliable(&addr, Package::SetSelfNick(nick));
                 }
-                PeerKind::Server(..) => {}
+                PeerKind::Server(peer, ..) => {
+                    let player_id = if let Some(game) = Game::singleton() {
+                        game.bind().self_id.unwrap_or(0)
+                    } else {
+                        0
+                    };
+                    peer.broadcast_reliable(Package::SetNick(player_id, nick));
+                }
             }
         }
     }