Thank you! I already made a review/story summary video for The Room VR about a year ago; I can't make a walkthrough though because I don't own the game or a VR setup. I purchased the game on a friend's account and recorded the footage for my review on his machine.
The order you go in doesn't matter, but each of the ten shapes (six letters and four corners) must be made purple to complete the level. The four purple buttons correspond with each of the four possible directions the white pieces can be facing. Complete a shape by pressing the buttons indicated by direction of the purple circles on the white pieces. For example, the bottom left corner would be: right, right, down, down. The "U" would be: up, up, left, down, down. On the "R" one piece is hidden, but logically, the hidden bit is a left facing piece.
Ignore the "E" and the "L" for now; the row of letters is in alphabetical order. "P" is 16, "Q" is 17, "R" is 18, "S" is 19, "T" is 20, "U" is 21. Simply spell the word "purple" in order to progress.