Sorry to see those rotting parts. Nothing much to do for it other than keep it hanging, not in any medium for now to continue to dry out some more till all areas calluses harder and kept in a warm, dry area. I would just continue to apply cinnamon there as well. You have already removed infected parts, so now it is just a matter of patiently waiting.
Whereabouts is your growing location? If you are here in the US, it is still okay if it is now doing anything, it is cold season, typical dormant time for it, so got to wait patiently for it to further heal and callus.