I ultimately ended up taking the entire thing apart to get it working again properly. Nice to have a bit of a distraction.
Here’s a few photos of the Swiss Thorens No 26 1/2 Emmentalerlied Kuhreigen Vo Luzern uf Weggis zue along with a very up close audio that picks up the depth of the inner mechanics. The tune plays through twice before I let the mechanism stop itself.
Perhaps I’ll revisit the positioning of the pins to improve the sound, but at least it’s working again.