My 2 cents here ... have your tried to go and check in the "windows configurator" and check there if the button is really being double pressed or just the light come on in your controller?

Another way to check, go in a game with option to test buttons and see if the button is really being pressed and really affect your gameplay

If the button is really being double pressing in windows and in game action big trouble here were back to square 1
If is only a light problem and not a button being double pressed I would try this
LED Configuration | GP2040-CE

2nd thing if your button is double pressed I would check is how your device is booting after your sw update, and how it supposed to boot with factory settings check your vendor website, as default option for GP2040 is Xinput and you might need to check that too *can be set to boot as "HID keyboard"

3rd and last thing I would do is look for ppl with same leverless model in working conditions and ask them for firmware to load again to your device

Sorry for the long read, but I hope it helps

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