How do I replace my live site with a duplicated version?

I have a website currently live on Framer with a paid Basic plan connected to it.

I duplicated it and made a bunch of updates and improvements. Now I want this duplicated version to become my live website.

What’s the correct way to do this?

Do I move the plan/domain to the duplicated project, or is there a way to replace the live site without messing with the plan?

Anyone done this before?