Fix pulling cancelling randomly. (#9982)

Content.Server/Physics/Controllers/PullController.cs

@@ -31,6 +31,9 @@ namespace Content.Server.Physics.Controllers
         // Velocity change of -LinearVelocity * frameTime * this
         private const float SettleShutdownMultiplier = 20.0f;
 
+        // How much you must move for the puller movement check to actually hit.
+        private const float MinimumMovementDistance = 0.005f;
+
         [Dependency] private readonly SharedPullingSystem _pullableSystem = default!;
 
         // TODO: Move this stuff to pullingsystem
@@ -64,6 +67,10 @@ namespace Content.Server.Physics.Controllers
 
             UpdatePulledRotation(uid, pullable.Owner);
 
+            if (args.NewPosition.EntityId == args.OldPosition.EntityId &&
+                (args.NewPosition.Position - args.OldPosition.Position).LengthSquared < MinimumMovementDistance * MinimumMovementDistance)
+                return;
+
             if (TryComp<PhysicsComponent>(pullable.Owner, out var physics))
                 physics.WakeBody();