I figured out that you actually can skip waiting for the guard near the end! If you are on a fast enough pace (which also involve RNG), you can actually have enough time to stun the guard before the other one sees you. Now in this run I still got a "Evasion!" but it still worked out in the end. I probably could've jumped instantly without waiting a few seconds, but I wasn't sure so I played it safe.

The scary part then was the rest, as this was the first time I got the skip, so I had no clue where and which direction the other guards were facing, so I just had to gamble and hope for the best. In the end it all worked out!