In my family, which follows the customs of Baghdad, it is a custom to eat eggs and pomegranate seeds during the seider. Problem is, nobody knows why, when and what to say.
I can see why the eggs are on the seider plate, such as discussed in this answer. None of my haggadoth mark the moment when these simanim should be eaten, and I could not find a commentary in our haggadoth about the blessings that should be used when introducing these simanim. I also could not find this custom discussed in the halachot of the Ben Ish Chai
What source discusses or was the base for the (babylonian jews'?) custom of eating the egg and the seeds of the pomegranates? What is the moment the egg and pomegranate are eaten and what blessing/text accompany them?