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.Client/Throwing/ThrownItemVisualizerSystem.cs

@@ -24,7 +24,7 @@ public sealed class ThrownItemVisualizerSystem : EntitySystem
 
     private void OnAutoHandleState(EntityUid uid, ThrownItemComponent component, ref AfterAutoHandleStateEvent args)
     {
-        if (!TryComp<SpriteComponent>(uid, out var sprite))
+        if (!TryComp<SpriteComponent>(uid, out var sprite) || !component.Animate)
             return;
 
         var animationPlayer = EnsureComp<AnimationPlayerComponent>(uid);