That’s a decent budget you might get something that does both. I quite like the NiteRider lights for that. I use a couple of their Nite Rider Swifts they are just a fraction of your budget the Swifts arent able to clip onto a garmin/ go pro mount though. But with a built in rubber clip you can clip them anywhere and move them bike to bike.
For finding lights I quite like this site.
Lol, despite it saying its a 2023 update, the lights tested are 2022