The game feels well-balanced, I felt compelled to optimize my moves to save as much time as possible. I enjoyed spending time thinking a few moves ahead. After getting more used to the gameplay I would have liked to know exactly how many turns I would have left, but I understand the tradeoffs that come with information overload. Another ability I would have liked would be to simply pass the turn so the creature would move on its own. I really like the complexity the creature adds to the puzzle, though I wish I had a better understanding of how it decides to turn. The 5th round of the 4th day is a cool twist, my jaw dropped when I made my first move lol. That's where I gave up though.
I found the controls hard to learn at first, and I would often rotate something the opposite way from what I intended. An undo button, a more explicit "toolbox"-style UI, or more indications in the UI might have helped with this.
I enjoyed the music. It was at once chill but also moody and dark and it complemented the cerebral gameplay. The writing was lovely and evocative.
I think I found a bug, by the way. I completed a puzzle by rotating the creature around using the alembic, but it didn't trigger the victory condition.
Great work! I'd love to see further exploration of the core gameplay!