As you write in the snow once more, this time your work isn't filled in with snow nearly as fast as before. Now you're heading down the right path, rather than the other that was taking you nowhere. Of all the things you'd expect in a challenge, using the Pythagorean Number System likely was not expected due to its simplicity. But here you are, using it to crack the code.

Things now make sense to you. To open the cage, you need to find Aries, Leo, and Sagittarius on the metal lock. Do so quickly, for your overthinking caused much time to pass by. Your decision to not fuss about the order in which the constellations need to be selected was a smart move on your part. Time was beginning to run thin.

Leo and Sagittarius are found quickly. Tapping each star that made up the constellations with your wand causes the dots to connect and light up white, whereas pressing fingers on them does nothing. The lit dots linger there as you frantically search for Aries. You find it soon enough, causing it to also connect and light up. What now?

After a brief pause, the three constellations light up green. The lock clicks and the door swings open. Ryan is free to leave, but his exposure to the harsh cold isn't going to make walking out of it on his own accord easy.