Ring of Pain

Fire Breed enemies regularly spawn in the Path Embracing Chaos, but can appear on later floors with a very low percentage.
These enemies will summon the smaller pursuing Fire Bead enemies. They create a fire bead and move one step away from you every turn.
You must kill the beads and catch the Fire Breed in the blast with the final hp damage to kill it. This can be done in any way as long as the final hit to the Fire Breed is from an exploding bead.

Do this three times, does not have to be at the same time as only one spawns on any given floor.

The easiest way to do this is to hit the Breed to lower its health, then use the Detonate rare spell to clear all the exploders at once and take their mom with them.