I really like turn-based experiences, as I am one of those who does not enjoy being pushed. Giving the chance to space the mind is a great way to gain the attention of people who is usually reluctant to play videogames because they think that they're stressful.
I think the twits of combining two genres (platforms, turns) is brilliant. At the end, it boils down to convey which short of choices will put you out of trouble, which also pushes the player to use memory. It feels like a chose-you-own-adventure game where you are compelled to explore a lot of deathly branches until you find the one that saves you (like in a multiverse).
The way you set controls (arrows to pave the road, then a key to start and a key to remove the plan and try again, along with a key to keep running forwards) solves all the major concerns a player can have. If you had, for example, left the remove key, I wold had been pushed to go trough a failure even if I already knew. If you had removed the forward key, I would had to keep playing turns even when there is no more thread. This gives the game a lot of smoothness and agency to the player to feel he is in control.
Congrats, it's an amazing idea!