So... my son nerd sniped me! He saw a video on the Fold-and-Cut Theorem by Vsauce and said I should figure out how to fold a piece of paper to cut out the hat and spectre tiles with one cut. Mission accomplished! This blog post has downloadable PDFs: https://divisbyzero.com/2024/08/14/fold-and-cut-hat-and-spectre-tiles/