Remove the last comp shutdown methods (#13582)

Content.Server/Spawners/Components/TimedSpawnerComponent.cs

@@ -31,7 +31,7 @@ namespace Content.Server.Spawners.Components
         [DataField("MaximumEntitiesSpawned")]
         public int MaximumEntitiesSpawned { get; set; } = 1;
 
-        private CancellationTokenSource? TokenSource;
+        public CancellationTokenSource? TokenSource;
 
         void ISerializationHooks.AfterDeserialization()
         {
@@ -45,12 +45,6 @@ namespace Content.Server.Spawners.Components
             SetupTimer();
         }
 
-        protected override void Shutdown()
-        {
-            base.Shutdown();
-            TokenSource?.Cancel();
-        }
-
         private void SetupTimer()
         {
             TokenSource?.Cancel();

Content.Server/Spawners/EntitySystems/TimedDespawnSystem.cs

@@ -1,9 +1,21 @@
+using Content.Server.Spawners.Components;
 using Content.Shared.Spawners.EntitySystems;
 
 namespace Content.Server.Spawners.EntitySystems;
 
 public sealed class TimedDespawnSystem : SharedTimedDespawnSystem
 {
+    public override void Initialize()
+    {
+        base.Initialize();
+        SubscribeLocalEvent<TimedSpawnerComponent, ComponentShutdown>(OnTimedSpawnerShutdown);
+    }
+
+    private void OnTimedSpawnerShutdown(EntityUid uid, TimedSpawnerComponent component, ComponentShutdown args)
+    {
+        component.TokenSource?.Cancel();
+    }
+
     protected override bool CanDelete(EntityUid uid)
     {
         return true;