On the step relics of the golden age the quest requires picking up an exotic engram.
I got exotics from quests, bounties, nightfalls, patrol chests, raid chests, and raid encounters and a random drop that was sent to the postmaster and non of them counted.
The quest is currently unbeatable.
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That’s because only exotics that drop on ground & you actually pickup count for quest. If it goes to post or you get from chest/bounty/challenge/etc, then it won’t count.
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Only chests from the leviathan and lairs drop exotic engrams nothing else currently drops as "engrams" due to the powerful gear system from forsakken