Nice little puzzle game! I think it's very clever, while having some interesting possibilities. One idea that comes to mind to mix things up is spaces that you have to avoid or certain blocks that can't touch each other.
Great job on your first Godot game! I think the menus and everything looks really quite polished for a game jam game. And I think that it's really cool that you made a Random mode.
One thing I didn't like was in tutorial 5 with the blocks that were in your way and would disappear, I think it would be nice to somehow indicate that they are blocks that will behave that way. With the next tutorial, it was unclear to me whether or not I should expect the obstacle blocks to disappear after I moved a bit.
This is a perfect game for a leaderboard, or maybe just showing the max possible score? Or some score thresholds for 1, 2, or 3 stars or something.