Just in case anyone else has this very specific concern, I emailed LSAC and their response was, "As long as you show blank paper at the start of the exam to the proctor, you can certainly fold it as needed for space on your desk space."
When you take the real LSAT you're allowed 5 sheets of blank scrap paper. You do it there. For your next test, have 5 sheets on your desk as you take the test with a pen and draw them
Yeah, do it on paper. It might be somewhat more true to test day conditions to work off the screen using blank scratch paper rather than actually printing the games. I wouldn’t know what to do with myself without pencil and paper.