It was pretty clever! I noticed that in the buttons room and in another room, the one before the last, I needed to head back and re-enter to progress. Was that intentional?
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The one before the last, it's intended.
The one with the buttons, the solution is to push between 1 and three 3 buttons and just wait a few seconds. Pushing 4 buttons is supposed to restart the room aka failure.
In the bottom left of the screen is a hint for each solution, but it doesn't scale with your screen size and can be easily missed unfortunately.