John G.
I have a lot of experience in building and repairing things from metal. However, I have very little experience with accordions and none with the bass machine, other than removing the two “cassettes” in my Hohner to fix a sticky button, the first time watching an expert.
As for fixing a broken piece the first thing I’d ask is what kind of metal is it made from. In general, traditional soldering is excellent for some common materials such as brass and copper but can range from challenging to impossible for other materials. Some things are actually better repaired by constructing a new part. But I readily admit I have no knowledge of the material used in the bass machine. Perhaps an experience person has an suggestion or at least a hint.
Is the “lever” you mentioned one of the horizontal pieces shown in your photo of Sept 27? Is it one of what appear to be short cylinders or tubes?
How was the “lever” originally attached? You mentioned that it was “loose”. Can you tell if it was originally soldered, pressed into a drilled hole, spot welded? The original attachment method might suggest an easy fix. Do you have an extreme closeup photo of both the broken one and a good one?
For some materials, such as steel, I find it easy to permanently repair a small part by heliarc (TIG) welding - just a tiny controlled touch with a low-current arc can be enough. (A good welding/machine shop could do this in about a nanosecond) If the “lever” had been originally secured by other means that may suggest a solution. Again, perhaps a person with accordion bass machine repair will come to the rescue with a simple and perfect suggestion.
JKJ