I escaped.
I never managed to understood how the controls work, why you fall or don't fall, and how you're meant to climb, using the Escape bar or clicking on the button seemed to give different results sometimes and it always took me 10 retries to climb, mashing or not mashing the button since neither seemed to give compelling results on a regular basis.
Yet, I absolutely love the game. The presentation is clean and gives the right atmosphere the game requires, gameplay is super smooth, combat and levelling-up adds some welcome rythm to the experience (I know it's simple but I really enjoy the combat part of this game, it feels super good), and you created an excellent dungeon and that it makes perfect use of the theme is the icing on the cake.
Congratulations!