Will I lose one account of Kaspersky if I reset my PC?

I need to reset my PC so Windows 10 can reinstall because it’s being a bitch.

I have Kaspersky anti-virus, and I realized that when I bought it, the box said it’s good for 3 computers. I used it on my computer and my mom used it on hers, leaving one extra. Obviously Kaspersky will be removed when I reinstall Windows 10, but does that mean when I reinstall Kaspersky on my computer that I will lose that extra account and it’ll be like I used up all 3?