As Roger suggests, a slightly oversize hole up each part and an internal splint epoxied in place. Since it is decorative rather than working, a piece of toothpick rather than a metal peg would do.
If it wasn't so prominent, a bit of clear heatshrink might do the job, possibly forming a sleeve over Colin's superglue butt join. If the ends are jaggy enough, the butt join could well be enough by itself.
Edited By Malcolm Frary on 20/08/2020 22:44:34