Refactor GameManager and PlayerDeathComponent for improved state management and logging; update scene connections for player death handling

scripts/components/PlayerDeathComponent.cs

@@ -31,6 +31,7 @@ public partial class PlayerDeathComponent : Node2D
         }
         
         _gameManager.RemoveLives(1);
+        GD.Print("Player death, lives left: " + _gameManager.GetLives());
         _gameManager.ResetCurrentSessionState();
     }
 }