Fun idea, I like how each wake/sleep state had its own mechanic. I wonder how you could incorporate the dream world affecting the awake world too. An inconsistency perhaps is that the checker board patterned floor also acted as a carpet but the dark ones are same color as normal floor. Fun art and music too, the jumping object reminded me of Mina the Hollower levels
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Thanks for trying it out! Yes, I thought about doing somethings where the dream world changes the real world. One idea was to have keys being on the other side of walls, and since in the dream there are no walls, you could go get them. Or maybe there were connections or buttons you could only see in the dream. Ultimately I decided against this because I wanted real world to be fully puzzle and the dream to be fully platformer.