This is the approach I would probably use, at least on a larger bird. On a smaller one, it could work, but too much effort in most cases.
First make a paper or cardstock connector, or mask off an area around where the fillet will be (to simulate the area around the weld that gets oxidized and raised, no idea what it's called) and put glue or something into it. Peel off tape after the glue thickens enough to keep shape.
Then cut or punch out some cardstock or thick paper circles.
Lay down a fillet, probably with thick glue.
Glue the bottoms of the paper disks and lay (overlapping) onto joint.
Sand to round edges some and slightly fill in the crevices with a small amount of wood glue or CWF or something. Also to finish the beginning and end of the weld.
I dont think the pattern can be pulled because the beads are oriented so the round part overlaps the previous bead rather than there being a round indentation. With enough skill, it could likely be made to work, but not here.
I hope to try this out soon. Thanks for the idea!