My mom has had two melanomas and various other less cancerous skin growths removed and she's doing fine, she just has pretty frequent dermatologist appointments. My grandpa had quite a few patches of skin cancer removed over his life, he died at like 87 from something completely unrelated to the skin cancer, I think it was a liver thing? My aunt and dad have both had a cancerous skin growth removed each, my dad is totally fine, my aunt was an alcoholic, so unfortunately the alcohol killed her, but that didn't happen until years and years after she got the cancer removed from her nose.
Skin cancer will very likely not kill you, especially since you went and got your dodgy looking mole checked out rather than ignoring it and hoping it goes away. If they have to remove it they will and you'll have a bit of a scar but you'll be fine.
I know just telling you you'll be ok won't actually necessarily help with the anxiety, but really and truly, you'll be ok. Take it from someone who has family history of skin cancer, it's easily survivable if caught early, as you have done. Also, it could very well be benign. My mom has something biopsied like once a year, and it doesn't always get removed afterwards.
Regardless, good luck with surviving the next two days, and I hope the biopsy goes smoothly!
