There is no need to "teleport" the sprites at all. All you need to do is, add the sprite to the layout design and go to the new layout. If you look at any of the tutorials that have multiple levels, you can see examples of this. Also, I have attached a link to an example I built for a different question a while ago that could help you see how to do it:
drive.google.com/file/d/1INg7SXrc4XT3ew7nmUkOuTFpHGy0xdIU/view
If you need to keep track of variables between the different layouts, you can set them as global variables.