Switching to a New Template and Connecting a Domain

Question:
Can I connect my domain that is on my premium plan to a new template I created on a different site page without paying for a new subscription?

Product:
Wix Studio Editor or Membership

What are you trying to achieve:
I paid for a premium plan and I have a domain for it that I purchased. I wanted to switch to a new template but I read that I had to start a new site page. I made a new site page and I would like to have my old domain name connected without having to pay for a new subscription since I already paid for a two-year Wix premium plan.

What have you already tried:
I have tried to transfer my site to a new domain.

Additional information:
I do not want to pay for a new subscription service since I already paid.