Looks like brass covering on Spelter.hard to judge the size... but quite small.... dowel and soft solder?
Heating it won’t be a problemSilver solder will do that, except it looks like a big lump, you will struggle to get enough heat in with a plain propane or mapp.
Solder is going to leave a visible line.
A few videos showing brass being tig welded, but thats no good if you dont have air feed.
Tapered dowles and no glue then.Owner specifically doesn’t want it glued