Lezyne does make an adapter to remove the rubber strap in turn for a GoPro mount that is available on some out front mounts. I just ended up doing this and got a cheap out front mount from Amazon and quite like it. Links are below.
Lezyne adapter: https://www.amazon.com/LEZYNE-LED-Mount-Adapter-Black/dp/B07586GN12
Out front mount I use although there are a ton/better in this space: https://www.amazon.com/Corki-Out-Front-Mount-Garmin-GoPro/dp/B07KPJDXZS/ref=mp_s_a_1_2_sspa?crid=2HJDLRQ1T85LL&keywords=out+front+mount+garmin&qid=1676071784&sprefix=out+front+mount%2Caps%2C222&sr=8-2-spons&psc=1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUEyM0k0NjBITUcxQk41JmVuY3J5cHRlZElkPUEwMzIzODAxM0RYWEc0TFdVN1JPUiZlbmNyeXB0ZWRBZElkPUEwMTkzMzU5VEMyVVFLUlg4MElJJndpZGdldE5hbWU9c3BfcGhvbmVfc2VhcmNoX2F0ZiZhY3Rpb249Y2xpY2tSZWRpcmVjdCZkb05vdExvZ0NsaWNrPXRydWU=
i use a similar garmin mount with the quarter-turn adaptator with a lezyne light and this.
To use it you have to unscrew the latex band use originally to strap the light on your bike an screw this one on. It fits neatly under the gps
Get this gopro mount for the lyzene
https://www.amazon.com/LEZYNE-LED-Mount-Adapter-Black/dp/B07586GN12
Get the gopro to garmin mount
https://www.amazon.com/KOM-Cycling-Mount-GoPro-Black/dp/B084Y1N9ZC
Get the garmin mount
https://www.amazon.com/Cestbon-Compatible-Garmin-Elemnt-Hammerhead/dp/B0BJZ7KWN9
You can skip the gopro to garmin mount but that gives you the ability to quickly remove the light with a single twist vs having to unscrew the gopro bolt. If you're ok with the gopro mount itself, there's a lot more gopro mounting options for the handlebar.