I did Duality from start to finish with the full set of fully upgraded Solstice armor and it awarded zero progress.
Furthermore, it didn’t award Silver Leaves.
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Only shattered throne works for the dungeon part I believe. Easiest way is that, or 3 master nightfalls, easy this week, takes 3 runs @10 mins each, you're easily high enough, do it today though before it changes to corrupted lol
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I know, it has nothing to do with your post, but for the triumph you only need 3 rounds (wins) of trials.. You get it in 10 min max…just for info!