Fix rotation visuals desync & appearance state spam (#23016)

* Fix rotation visuals desync

* :bucklemeup:

* A

Content.Shared/Rotation/SharedRotationVisualsSystem.cs

@@ -0,0 +1,29 @@
+namespace Content.Shared.Rotation;
+
+public abstract class SharedRotationVisualsSystem : EntitySystem
+{
+    /// <summary>
+    /// Sets the rotation an entity will have when it is "horizontal"
+    /// </summary>
+    public void SetHorizontalAngle(Entity<RotationVisualsComponent?> ent, Angle angle)
+    {
+        if (!Resolve(ent, ref ent.Comp, false))
+            return;
+
+        if (ent.Comp.HorizontalRotation.Equals(angle))
+            return;
+
+        ent.Comp.HorizontalRotation = angle;
+        Dirty(ent);
+    }
+
+
+    /// <summary>
+    /// Resets the rotation an entity will have when it is "horizontal" back to it's default value.
+    /// </summary>
+    public void ResetHorizontalAngle(Entity<RotationVisualsComponent?> ent)
+    {
+        if (Resolve(ent, ref ent.Comp, false))
+            SetHorizontalAngle(ent, ent.Comp.DefaultRotation);
+    }
+}