For many users, the mod kit isn't actually frozen; it is simply working through thousands of shaders for the first time.
This is the threshold where UE4 initiates the Shader Compile Worker .
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Running the game in compatibility mode or as an administrator can sometimes resolve issues.
If none of the above steps work, you might consider reinstalling the game.
If the issue persists, it might be worth contacting the developers of the mod kit directly for support. They may have a fix or a workaround that isn't widely known.