On my system, it’s here:
C:\Users[USERNAME]\AppData\Local\Packages\Microsoft.Limitless_8wekyb3d8bbwe\LocalCache
(Of course, [USERNAME] is whatever your user account is named on your PC)
Worth noting: this is the filepath on my system, even with a custom sim installation on my E: drive.
EDIT: While I was looking for the exe.xml file, I went ahead and edited it. I can confirm my radio panel is working now in FS2024 without needing to manually start the Logitech plugin.