Fix solution editor UI (#24004)

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.