There's just no way to complete master conquest derealize in 20 minutes. It needs to be replaced with something else.
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I did it with strong hold titan + praxic blade. My team then consisted of a prismatic warlock and a void warlock. I did the majority of the lifting due the pure tank of the build but every team member had their own roll. With the plate puzzle - you only need to go through the 4 rooms twice. The time waster here are the 2 tormentors, the stupid flying champs and the plate puzzle. We exited the 2nd area (where you charge the blights) with 8 and a half mins and entered the boss room with 1 and a half mins to spare (then played passively).