Pulling rework (#20906)

* Pulling rework

Fixing up the FOUR systems managing pulling, all the shitcode, and also making it nicer ingame.

* More pulling cleanup

* stats

* More cleanup

* First draft

* More pulling

* weh

* Fix puller

* Pulling working

* Fix merge

* Dunked

* Self-merge time

Content.Shared/Pulling/Systems/SharedPullableSystem.cs

@@ -1,28 +0,0 @@
-using Content.Shared.ActionBlocker;
-using Content.Shared.Mobs.Systems;
-using Content.Shared.Pulling.Components;
-using Content.Shared.Movement.Events;
-
-namespace Content.Shared.Pulling.Systems
-{
-    public sealed class SharedPullableSystem : EntitySystem
-    {
-        [Dependency] private readonly ActionBlockerSystem _blocker = default!;
-        [Dependency] private readonly MobStateSystem _mobState = default!;
-        [Dependency] private readonly SharedPullingSystem _pullSystem = default!;
-
-        public override void Initialize()
-        {
-            base.Initialize();
-            SubscribeLocalEvent<SharedPullableComponent, MoveInputEvent>(OnRelayMoveInput);
-        }
-
-        private void OnRelayMoveInput(EntityUid uid, SharedPullableComponent component, ref MoveInputEvent args)
-        {
-            var entity = args.Entity;
-            if (_mobState.IsIncapacitated(entity) || !_blocker.CanMove(entity)) return;
-
-            _pullSystem.TryStopPull(component);
-        }
-    }
-}