You are quite right that the Control Centre filter driver HKKbdFltr.sys is the likely cause of these BSODs. The HKKbdFltr.sys driver is called in the lead-up to each BSOD, and it's the only third-party driver called. The version of HKKbdFltr.sys that you have installed is extremely old. It dates from 2019 and so pre-dates Windows 11...
[code]
4: kd> lmvmHKKbdFltr
Browse full module list
start end module name
fffff804`74630000 fffff804`7463d000 HKKbdFltr T (no symbols)
Loaded symbol image file: HKKbdFltr.sys
Image path: \SystemRoot\system32\DRIVERS\HKKbdFltr.sys
Image name: HKKbdFltr.sys
Browse all global symbols functions data
Timestamp: Wed Mar 6 10:15:16 2019 (5C7F8194)
CheckSum: 0000CC3A
ImageSize: 0000D000
Translations: 0000.04b0 0000.04e4 0409.04b0 0409.04e4
Information from resource tables:
[/code]
That makes me think that you have an out-dated version of the Control Centre installed. The driver download site for your Gigabyte G7 KF has a much more recent version of Control Centre dated April 11th 2024. I suggest you uninstall the existing Control Centre (which is likely not Windows 11 compatible) and install this later version.