Copilot agent process not allows IDEA and copilot plugin to update

[demkom58]

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Bug

Body

1. Update
   
2. Automatic restart
   

I partially solve it with manually closing IDEA and then starting it. Also it breaks IDEA updating (built-in in IDEA, when it is running).

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IDEA 2024.1.1 is used, but it was issue on older versions too.