feat: Implement comprehensive lobby system with main menu, room management, and loading screen.

scripts/managers/lobby_manager.gd

@@ -290,19 +290,21 @@ func leave_room() -> void:
 	reset()
 	_stop_lan_broadcast()
 	
+	# Emit before nulling peer so UI can still access peer info if needed
+	emit_signal("room_left")
+	
 	if is_lan_mode:
-		# LAN mode: just close the ENet peer directly
-		if multiplayer.has_multiplayer_peer():
-			multiplayer.set_multiplayer_peer(null)
-		is_lan_mode = false
+		# LAN mode: Host should keep peer alive long enough to reach lobby
+		if not is_host or get_tree().current_scene.name == "Lobby":
+			if multiplayer.has_multiplayer_peer():
+				multiplayer.set_multiplayer_peer(null)
+			is_lan_mode = false
 	else:
 		# Nakama mode: full Nakama cleanup
 		NakamaManager.cleanup()
 		
 	# Important: Clean up game state as well to prevent ghost players
 	GameStateManager.reset()
-	
-	emit_signal("room_left")
 
 func refresh_room_list() -> void:
 	"""Request updated room list from Nakama or scan for LAN rooms."""

scripts/ui/loading_screen.gd

@@ -1,4 +1,4 @@
-extends Control
+extends CanvasLayer
 
 @export var tips: Array[String] = [
 	"Use your cards wisely!",
@@ -79,6 +79,14 @@ func change_scene(resource: PackedScene):
 	
 	get_tree().change_scene_to_packed(resource)
 	
+	# Update label to show we are initializing the game world
+	if scene_name_label:
+		scene_name_label.text = "Preparing Game..."
+	
+	# Wait for assets (Tektons, Spawn Tiles) to initialize in the background
+	# This keeps the loading screen visible while main.gd runs its _ready() setup
+	await get_tree().create_timer(1.2).timeout
+	
 	# Clean up self (Loading Screen)
 	queue_free()
 
@@ -86,7 +94,7 @@ func change_scene(resource: PackedScene):
 func load_level(_path: String):
 	print("Starting load for: ", _path)
 	path = _path
-	show()
+	visible = true
 	content_control.show()
 	
 	if scene_name_label: