The idea is there, and the plot together with the final twist is very nice. But it seems the looping idea has nothing to do with the gameplay. Each time you given different options, the only options to progress the game, so eventually the story is told completely linearly. If instead you gave the player all options at once (all objects, all interactables) and made the outcome different depending on what player does, it would become a proper puzzle with main focus on loop mechanic.
Despite that, the game feels nice, it succeds to tell the story, creates cool atmosphere and it looks very nice. Good job!