I learned a few tricks from my next project (Reverie), and added a songhandler.

I had to reconfigure the global variables, but now there's a global node that handles the songs instead of having them start in each level.

I'd still really like to get another song or two for this.

This basically means that the music no longer restarts each time the kitty dies.
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I also added a start menu, though it might still have a bug in it (Godot's grab focus function is kind of squirrelly.