Agree with John. Put it back together and turn it. Good chance the breaks will not be noticeable.
Been there…..Sometimes they break with the grain because they are so small and thin. You probably wont be able to see it once it's glued back together.
That is as good as I could get it.Close up it looks like there was some small chunks that broke away leaving an open area. Any chance you can disassemble the pen parts and rub some similar colored sanding dust in there with a little thin CA over it. That might fix the obvious appearance of the break.