It seems odd to me that there's no puzzle skip. On the screen for this puzzle, is there a vertical bar on the lefthand side of the screen? There should be an arrow on the top of the bar that allows for a puzzle skip after a whlie (depending upon what difficulty level you are playing), while the reset button is on the bottom of the bar.
If not, the only other thing I can think of to suggest is to watch the puzzle being solved
here during a video walkthrough. I don't know what part of the video to refer you to, but you should be able to hopefully find where you are in the game without too much trouble.
