Fix solution editor UI (#24004)

Fixes #23645

The problem is that the solution editor UI is an EUI, so the UI updates before the game states are applied.

A correct fix would be to move it to a BUI in some way, but that's a little involved as we don't really have pre-existing code that uses BUIs in a manner good for this. I decided against this because I realized we'd want to have more tools similar to this and tbh I kinda figured integrating it with VV would be a better fix instead, so...

This is a bad workaround to manually synchronize the UI updates against game timing. It's not pretty but it works.

Content.Client/Administration/UI/ManageSolutions/EditSolutionsEui.cs

@@ -34,9 +34,7 @@ namespace Content.Client.Administration.UI.ManageSolutions
         public override void HandleState(EuiStateBase baseState)
         {
             var state = (EditSolutionsEuiState) baseState;
-            _window.SetTargetEntity(state.Target);
-            _window.UpdateSolutions(state.Solutions);
-            _window.UpdateReagents();
+            _window.SetState(state);
         }
     }
 }