Migrate pulling logic into SharedPullableComponent from PullController (#2627)

* Pulling: Migrate critical pull state from PullController to SharedPullableComponent, fixing two bugs in the process

Bug 1: PullController can be just summoned for no reason when the verb is queried
Bug 2: PullController keeps it's own independent pull state which can (and will) go out of sync (See https://github.com/space-wizards/space-station-14/issues/2619 )

* Pulling: Fix issues with previous commit (or possibly in general?) causing transferring a pull to cause alerts to go wrong

The primary problem is that there is one "pulling slot" for a puller, so SharedPullableComponent needs to stop the existing pull.

* Pulling: Remove debug logs (whoops)

Content.Shared/GameObjects/Components/Pulling/SharedPullerComponent.cs

@@ -1,9 +1,14 @@
 #nullable enable
+using Content.Shared.Alert;
+using Content.Shared.GameObjects.Components.Mobs;
 using Content.Shared.GameObjects.Components.Movement;
+using Content.Shared.GameObjects.EntitySystems;
 using Content.Shared.Physics.Pull;
 using Robust.Shared.GameObjects;
+using Robust.Shared.GameObjects.Systems;
 using Robust.Shared.Interfaces.GameObjects;
 using Component = Robust.Shared.GameObjects.Component;
+using Robust.Shared.Log;
 
 namespace Content.Shared.GameObjects.Components.Pulling
 {
@@ -58,15 +63,34 @@ namespace Content.Shared.GameObjects.Components.Pulling
                 return;
             }
 
+            SharedAlertsComponent? ownerStatus = Owner.GetComponentOrNull<SharedAlertsComponent>();
+
             switch (message)
             {
                 case PullStartedMessage msg:
                     Pulling = msg.Pulled.Owner;
+                    if (ownerStatus != null)
+                    {
+                        ownerStatus.ShowAlert(AlertType.Pulling, onClickAlert: OnClickAlert);
+                    }
                     break;
                 case PullStoppedMessage _:
                     Pulling = null;
+                    if (ownerStatus != null)
+                    {
+                        ownerStatus.ClearAlert(AlertType.Pulling);
+                    }
                     break;
             }
         }
+
+        private void OnClickAlert(ClickAlertEventArgs args)
+        {
+            EntitySystem
+                .Get<SharedPullingSystem>()
+                .GetPulled(args.Player)?
+                .GetComponentOrNull<SharedPullableComponent>()?
+                .TryStopPull();
+        }
     }
 }