Can I submit the app I submitted to the app store to SSC at the same time?

Hi, I recently built an app and I’m planning to publish it on the App Store. Since the Swift Student Challenge (SSC) is coming up, I’m also considering submitting the same project by converting it into a Swift Playground (with some content trimmed to meet the rules). I believe both I and the project are eligible.

My question: if I publish the app on the App Store first and then submit it to SSC, could that violate the rules or lead to rejection?

I also have a concern: because I’m a minor, Apple requires the App Store developer name to be my mother’s. However, the app was entirely developed by me. my mother and anyone else did not participate(My mother can't even use a computer.). I’m worried this might create confusion and make judges think I copied someone else’s work, which I did not.

Would you recommend publishing on the App Store now, waiting until after SSC, or taking a different approach? Thank you.