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It's a unusual game with a very interesting core mechanics. But I see only 2 problems:

  1. Jump mechanics. It feels a little bit weird and sluggish. It's very important to make it enjoyable.
  2. The difficulty curve is clunky, the first level is too hard for the start. It's very important to teach this peculiar mechanics gradually.

Hope, you'll develop your idea further. 

Thanks for the in depth feedback! :D We'll be working on that!