He was farming in a random party in Zanchul for 5-6 hours, when the Pterrordax Egg dropped for Lollÿpopp-Zul'Jin"

Thanks to Kitty from the Secret Finding Discord for this information.

The Mage was able to share the first quest A Child of Pa'ku with the rest of the party. Sharing the quest also gave each member of the party their own Pterrordax Egg and allowed them to start the month-long quest chain.