Your site can be duplicated to the same team or another team that you belong to. To duplicate your site to the same team, go to the site's dashboard, click on the options icon, and click duplicate.

Sites dashboard
Another way is accessing your site settings, clicking on the options icon on the top right corner, and click duplicate.
By duplicating your site from the site settings, you can select what organization you want to duplicate. You will see a dropdown with all the teams you belong.