This is a really cool interpretation of the prompt. I really like how when you game over you scroll through and get to see the whole tree! I wonder if the angles of your upcoming branches are random, or are they determined by your previous moves somehow?
If you're going to improve on this, I'd find a nice calming piece of music, and a couple sound effects for growing the branches! You'll want a few of them, and potentially vary the pitch or else it might get repetitive. When I use sound effects that may get repetitive, I like to pitch shift them by a random value a little bit so even if the same effect plays multiple times in a row there's still a little variety.
Great job!