Will my parents CC score follow/affect me in the future?

I’m 15, run a small wholesale business (& other investments/side hustles) with an LLC on the side, my parents just added me on amex as an AU for gold, their score isn’t fantastic but I plan on spending and paying the cards off quickly, but i’m worried as their score isn’t the best. Will their credit score affect mine? I’ll be fully using it as they don’t use amex, but I was added as an AU. I pay off everything within a week or two after buying (wholesale; quick deals and i get paid quickly) and spending a lot, but not sure about the score since i’m only a au

Paying off everything, was using debit cards before so it was a waste with how much I was spending and it could’e improved my score. But will their credit scores move on to my report in the future?