I LOVED ALL OF THIS.
Wow, if you manage to make a two stickmen dialogue interesting for 15 minutes, you already won.
At first I really hoped it was something like "Waiting for Godot", it had the same vibes, and when I saw the tree I was literally screaming because you basically confirmed my though (and then I read you reply, a bunch of comments under this). Also, please make me happy: is the coin a reference to "Rosencrantz and Guildenstern are dead"?
I loved the meta-game you were able to create, the pacing of the story, the well-written dialogues. The UI is simple, but nevertheless effective and fits perfectly with the abstract and absurd aura of the tale.
I don't know what to say, I think I already found my favourite entry.