Sunscreen: solid stick, not lotion
The modern approach to sun protection in an alpine environment is wearing a sun hoody to protect your arms and head, a visor hat to shield your eyes and forehead, and maybe a buff for your mouth and lower face.
But, you're still gonna have a few exposed spots on your face and that's when sunscreen is needed.
Sunscreen lotion sucks. It can freeze, leak in your pack, make your hands greasy when you’re rock climbing or cold when you’re snow climbing. (If you're going to use lotion, here's a tip: Squeeze it on the BACK of your hands and apply it that way when you’re rock climbing, so the greasy stuff stays off your palms.)
Sunscreen in a stick is much more convenient and less messy.
When you find one you like, buy a few so you can keep them stashed in different packs and jackets and don't have to hunt for it before a trip. Get the smallest one you can, many containers only weigh about 15 g. Careful about putting it above your eyes and then having sweat drip down, that's no fun.