Most of this time is spent on simply getting from point A to point B. The part that actually matters is, of course, the button puzzle. You have to be very precise in order to get 0:24. The video quality is a bit wonky for some reason, I don't know why, I haven't done anything bad to my recording settings. Oh well.
Note that there IS a "faster" way that takes less steps, but it leaves the green button for the last, which makes the green transporter's arrival a lot slower. So even though it *looks* faster, it actually wastes time instead of saving it.