Well done I can see how this could become a really interesting puzzle game. I wish the shapes had less randomness, I think it would be very fun to try and get the exact right locations to fill all the space where possible without a lot of leftover gaps. Great concept.
I would be good if you included sound settings as its quite loud to begin with. Also you need to configure your stretch setting in Godot as at the moment the browser starts zoomed ito one corner of the acreen and when you apply fullscreen it stays the original size in the corner. You need to set your stretch mode to canvas layer and your stretch aspect to keep (or stretch if that is your preference) so that the game fills the avilable space correctly.