Oh, you're supposed to go right first? When I restarted, I used two blocks in that first-to-the-right room to block the north lasers, and went north first. It didn't occur to me that I could even go right (probably because of the tricky spinning).
I ended up hitting other problems: the game doesn't stop immediately if you hit a "RRRR" reset point, so at one point I'd managed to drift into another room before things stopped, at which point I couldn't reset my way back out again.