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I didn't quite understand the gameplay... Do we have to restore the constellations like a puzzle?

No, you have to create the constelations shown at the bottom.
Doing so will earn you points, and you get a new Constelation you need to create next.

There is no final state in this game where you, decide that you have made it or not.

Instead, the idea is that you carefully plan your rotations so that you can possibly get a constelation multiple times in the same turn, much like you would do in tetris with trying to stack multiple rows.