Hi @sebas1. Thanks for being part of GoDaddy Community!
In order to renew your domain without Private Registration, you would need to cancel that service. Keep in mind that doing so would remove the WHOIS protection that comes with it. You can find the steps to cancel here.
JesseW - GoDaddy | Community Manager | 24/7 support available at x.co/247support | Remember to choose a solution and give kudos.