In-game timer shows 38.60, but that timer is pretty inaccurate. Trying to time it myself showed about 38 seconds + 12 frames, or about 38.2 seconds.

I restarted by falling when the 3 spinning laser walls point in the upper-right corner face left so that by the time I get to them they are setup to skip the wall climb. I also attack when leaving the portal to maintain momentum.

Mod Comment: retimed using vidtimer. Starts at: 07:26 and ends at: 45:09 for a final time: 37.717