Thank you!! It's a very old public domain recording of "Habanera" with additional instrumentation and typewriter percussion as you noticed. There are also 4 versions of it so that it gets more and more layered as you progress!
Viewing post in The Contrarian Press jam comments
Yeah! Here's the recording: https://www.loc.gov/item/jukebox-133941/
I also uploaded the game version here: https://soundcloud.com/willowpet/maquina-habanera