I think the game is broken. I was able to drag the latch/tongue and secure the door as soon as the game started! I didn't need a key, which wasn't clickable anyway. I liked the art and and the music of the game. They complemented each other.
I also wish you'd used Wick Editor or Ren'Py instead of Godot. Godot is a wonderful game engine, but for small game jams, you're better off with frameworks or browser editors. Check out my game when you get a chance. All the best.