Fix pullable movement modifier (#4684)

Content.Shared/Pulling/Components/SharedPullableComponent.cs

@@ -47,6 +47,7 @@ namespace Content.Shared.Pulling.Components
                 }
 
                 var eventBus = Owner.EntityManager.EventBus;
+                // TODO: JESUS
 
                 // New value. Abandon being pulled by any existing object.
                 if (_puller != null)
@@ -54,6 +55,11 @@ namespace Content.Shared.Pulling.Components
                     var oldPuller = _puller;
                     var oldPullerPhysics = PullerPhysics;
 
+                    if (_puller.TryGetComponent(out SharedPullerComponent? puller))
+                    {
+                        puller.Pulling = null;
+                    }
+
                     _puller = null;
                     Dirty();
                     PullerPhysics = null;
@@ -67,6 +73,7 @@ namespace Content.Shared.Pulling.Components
 
                         _physics.WakeBody();
                     }
+
                     // else-branch warning is handled below
                 }