Remove IRelayMoveInput (#4663)

* Remove IRelayMoveInput

This interface gets called every time a movement key is pressed so it gets called a lot.

* Remove RelayMovementEntityMessage

Co-authored-by: metalgearsloth <metalgearsloth@gmail.com>

Content.Shared/Pulling/Systems/SharedPullableSystem.cs

@@ -0,0 +1,26 @@
+using Content.Shared.ActionBlocker;
+using Content.Shared.Movement.EntitySystems;
+using Content.Shared.Pulling.Components;
+using Robust.Shared.GameObjects;
+using Robust.Shared.IoC;
+
+namespace Content.Shared.Pulling.Systems
+{
+    public class SharedPullableSystem : EntitySystem
+    {
+        [Dependency] private readonly ActionBlockerSystem _blocker = default!;
+
+        public override void Initialize()
+        {
+            base.Initialize();
+            SubscribeLocalEvent<SharedPullableComponent, RelayMoveInputEvent>(OnRelayMoveInput);
+        }
+
+        private void OnRelayMoveInput(EntityUid uid, SharedPullableComponent component, RelayMoveInputEvent args)
+        {
+            var entity = args.Session.AttachedEntity;
+            if (entity == null || !_blocker.CanMove(entity)) return;
+            component.TryStopPull();
+        }
+    }
+}