I found the holy grail, an Out of Bounds in the Portal Room. Now I can enter whichever of the 3 Wings in any order, also accessing the final one at the start, which is normally not available until clearing the first two. With this discovery I had to re-route most of the game and so I tried my best to optimize as much as possible. This new route saves ~18 minutes over my old WR run!

I'm very happy with this run, as it doesn't have any major mistakes, but it can still be improved a bit more. Sub 38 shouldn't be that hard to achieve, but this is good enough for me :)