No worries, you're not the only one who got stuck there. It's working as intended, as far as I can tell, so I'm thinking I might need to add additional hints. Thanks for the play!
Viewing post in Noah's Star jam comments
I've since updated the game, but can't upload the new version while voting is in progress. While I don't want to outright leave the solution to the puzzle in the comments below my game, I will at least leave you with the additional hints I added. In the new version, there is now dialogue where Amelia tells Noah that they already tried 1) matching the shapes to the holes and 2) ignoring the puzzle entirely. From this, Noah gathers that he must *not* match the shapes to the holes, and cannot ignore the puzzle.