Losing connection with IDE

Hi!
Since a few days (maybe one or two weeks, I don't know exactly) I noticed that I often seem to lose the connection between the Stream Deck and WebStorm. When I press the buttons, there is a big warning sign on the key and nothing happens. I have to restart the Stream Deck application to make it work again. As if, on start, it connects to the IDE.
I also tried to restart the IDE, but it does not do the trick. It seems to happen after putting the PC to sleep for some time.

I join the logs of today, in case it might help: [StreamDeck0.log](https://github.com/user-attachments/files/16010323/StreamDeck0.log)
I noticed some strange things, like this starting on the 2nd line:
```
Plugin 'com.jetbrains.ide': LAUNCHING -> QUITTING
Shutdown of plugin 'com.jetbrains.ide' ended in invalid state..
Plugin 'com.jetbrains.ide' processes event queue [Stopped]
Plugin 'com.jetbrains.ide': QUITTING -> STOPPED
Plugin 'com.jetbrains.ide' processes event queue [Restart]
Plugin 'com.jetbrains.ide': STOPPED -> RESTARTING
```

Here are my versions:
- App version: 6.6.1 (20596)
- Plugin version: 1.0.3
- OS: Windows 11 Pro Version 23H2 Build 22631.3737

Any help appreciated, thanks!

Start with the attached StreamDeck0.log and the reported plugin lifecycle transitions after Windows sleep. Reproduce the WebStorm and Stream Deck connection failure on the listed versions; done means the connection recovers after sleep without restarting the Stream Deck application.

Written by the indexing model from the issue text.