Move pointer off iPad screen in Universal Control

I was hoping to use BetterTouchTool to bring the pointer back from the iPad screen — where I sent it using the new Universal Control feature of Monterey — to the main screen of the Mac with a keystroke. Googling, I found this discussion of how to use BTT to move the pointer to a specific spot on a specific screen:

— but this appears to only work so long as it is on a Mac screen, and is not Universal Control-aware. Any other ways to do this?

trying to bump this up again, since it's still relevant and five months have gone by

Any ideas?