feat: Implement core game managers, player movement logic, and initial UI scenes.

scripts/managers/goals_cycle_manager.gd

@@ -205,7 +205,9 @@ func on_goal_completed(player: Node, time_remaining: float):
 	
 	# Clear playerboard tiles (they convert to powerup bar reward)
 	player.playerboard.fill(-1)
-	player.rpc("sync_playerboard", player.playerboard)
+	# Use main scene's RPC which properly looks up player by ID on each client
+	if main_scene:
+		main_scene.rpc("sync_playerboard", peer_id, player.playerboard)
 	
 	# Regenerate goals for this player
 	regenerate_goals_for_player(player)
@@ -250,7 +252,9 @@ func _process_cycle_end_for_all_players():
 		
 		# Clear playerboard
 		player.playerboard.fill(-1)
-		player.rpc("sync_playerboard", player.playerboard)
+		# Use main scene's RPC which properly looks up player by ID
+		if main_scene:
+			main_scene.rpc("sync_playerboard", peer_id, player.playerboard)
 		
 		# Generate new goals
 		regenerate_goals_for_player(player)
@@ -291,7 +295,11 @@ func regenerate_goals_for_player(player: Node):
 		int_goals.append(g)
 	
 	player.goals = int_goals
-	player.rpc("sync_goals", int_goals)
+	
+	# Use main scene's RPC which properly looks up player by ID on each client
+	var peer_id = player.get_multiplayer_authority()
+	if main_scene:
+		main_scene.rpc("sync_player_goals", peer_id, int_goals)
 
 # =============================================================================
 # Tile Randomization