Shader compilation happens in the background even if the Skyrim window is closed

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Reproduce: Just run Skyrim with CS, and while the shaders are compiling, close the Skyrim window from the taskbar. Then go to the task manager and see that the Skyrim task is still hanging. I expect that when you close the Skyrim window, the game will shut down and free up resources. If I decide to leave the game, it means that I no longer need everything that happens in it.