I mean, what will remain to a puzzle game if we took all puzzle solving?
I think you've misunderstood me. I only think it would be helpful to give feedback to the player to let them know they have failed. Something as simple as "Sorry, try again!" would be great. Since this game is somewhat complicated and might take some time for players to understand (especially with no tutorial or explanation on the game page), it should be clear when they need to restart a level.