I've had this quest completed seeing as I have access to Weekly Crucible Bounties, but regardless it shows I don't have it complete on my Book of Triumphs.
I've completed the factions part but didn't receive Trials practice. I've also completed Weapons Master.
am I just not going to be able to finish triumphs?
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Which character are you trying to complete this quest on. If it's your warlock "Crucible Combat" is part of the overall mountain top questline.