What Headlamp Should I Get For This Troxel Helmet?

I am an avid equestrian. I like to ride at night. In the past, I have simply used a headlamp attached to the back of a baseball cap and then worn it backwards. I am now giving some thought to a Troxel helmet. I am just wondering what sort of headlamps would work with this sort of helmet to keep it securely attached?

https://www.troxelhelmets.com/products/sport?variant=2333277891

https://www.fleetfarm.com/detail/troxel-sport-schooling-helmet/0000000252006?Ntt=005348610

Ah more Equestrians on CPF! I find it challenging to find good combinations of headlamps and equestrian helmets. I am using the Petzl adapter mount on my Uvex Perfexxion. You can use all kind of Petzl headlamps. At this moment I have the Petzl Actik for this task.

Fenix has released the ALG-03 adapter mount. For coming winter I have bought this new mount. I will stick it on my Casco Champ so I can mount my Fenix HL60R on my equestrian helmet. I have not tried it yet, but I really like my HL60R for use around the stables.

I have a white chest harness for my horse with integrated leds. In the Netherlands I like it to be visible for safety on the road when I go out riding.