Hotfix: Camera offset for "Separated Chat" HUD fix & targetting fix (#35087)

* Initial commit

* Fix everything

* Comment and remove unused dependencies

* Update comments for consistency

---------

Co-authored-by: PJB3005 <pieterjan.briers+git@gmail.com>

Content.Client/Movement/Systems/ContentEyeSystem.cs

@@ -1,7 +1,6 @@
 using System.Numerics;
 using Content.Shared.Movement.Components;
 using Content.Shared.Movement.Systems;
-using Robust.Client.GameObjects;
 using Robust.Client.Player;
 
 namespace Content.Client.Movement.Systems;
@@ -63,4 +62,15 @@ public sealed class ContentEyeSystem : SharedContentEyeSystem
             UpdateEyeOffset((entity, eyeComponent));
         }
     }
+
+    public override void Update(float frameTime)
+    {
+        base.Update(frameTime);
+        // TODO: Ideally we wouldn't want this to run in both FrameUpdate and Update, but we kind of have to since the visual update happens in FrameUpdate, but interaction update happens in Update. It's a workaround and a better solution should be found.
+        var eyeEntities = AllEntityQuery<ContentEyeComponent, EyeComponent>();
+        while (eyeEntities.MoveNext(out var entity, out ContentEyeComponent? contentComponent, out EyeComponent? eyeComponent))
+        {
+            UpdateEyeOffset((entity, eyeComponent));
+        }
+    }
 }