Very cool physgun and shadow mechanics! I did have one question about the end puzzle though (spoilers ahead):
I saw that each button had a number above it, specifically 8, 4, 2, and 1. I also saw the opposite wall had the number 13. I figured the solution was to press only the buttons that added up to 13, but when I tried that nothing happened. Eventually I brute forced the solution as pressing the 8, 2, and 1 buttons, which would sum up to 11. Is there another part of the puzzle I missed?