Launch Application into split view *by splitting current native fullscreen*

currently there is an option to Launch an Application.
However, I am using native full screen on macOS 13 a lot and it would be great to be able to launch another app right inside that window as a split screen.

Currently, I launch the app I want using a keyboard shortcut, and then have to drag and drop it into the window I want. Would be great if that last step could be automated by bettertouchtool, as many other steps are.

Thank you and please upvote!