feat: Implement Nakama serialization, Realtime API, and a comprehensive lobby system with UI and player management.

scenes/lobby.gd

@@ -166,6 +166,9 @@ func _ready():
 	NakamaManager.connected_to_nakama.connect(_on_connected_to_nakama)
 	NakamaManager.connection_failed.connect(_on_connection_failed)
 	
+	# Connect UserProfileManager signals
+	UserProfileManager.profile_updated.connect(_on_profile_updated)
+	
 	# Show main menu initially
 	_show_panel("main_menu")
 
@@ -487,6 +490,17 @@ func _on_connection_failed(error_message: String) -> void:
 	connection_status.text = "Connection failed: %s" % error_message
 	_show_panel("main_menu")
 
+func _on_profile_updated() -> void:
+	"""Handle profile updates (name/avatar change)."""
+	var new_name = UserProfileManager.get_display_name()
+	
+	# Update input if visible
+	if player_name_input:
+		player_name_input.text = new_name
+	
+	# Sync to LobbyManager if we are in a room or just locally
+	LobbyManager.set_player_name(new_name)
+
 # =============================================================================
 # Player Slot Updates
 # =============================================================================