Seems like a fair amount of people have gotten through the game now, so the OST is being publicly released now. You can find it both on Youtube and on Bandcamp.
As always, huge thanks to @OnlinePool 
and @iffybruh 
for putting this together, they did an amazing job.
Youtube:
https://www.youtube.com/playlist?list=PL6o-CjiEKguHj7-nex8pE7AqU2ryqSORz
Bandcamp:
https://onlinepool.bandcamp.com/album/puppet-theatre-ost
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