To copy or transfer a map into a brand new project that has no other content inside of it, you can simply fork the original project, then delete any maps and views that you don't need. After deleting any content, it's usually helpful to empty the trash as well. If you take this forking approach, you'll be able to copy not just the map data (elements, connections, and loops), but also the accompanying view.
But, if the project you're transferring to already has some content of its own, which you don't want to delete or override, things get a little more complex. If that is the case for you, please reach out to [email protected], and we can help you move the map and any accompanying views safely, without deleting or overriding data in the target project.