From those triumphs, idk if you done the encounters because cba to got through 13 hours worth of footage but it seems like you only done the last encounter so maybe you have to do all of the encounters even though it doesn't tell you for the emblem. I think when they said complete the raid for the emblem, you have to do all encounters. Not just the final encounter.
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Please read my post, I explained that "I have also linked the VOD which shows me participating in the whole raid the entire time." I didn't just kill the boss at the end, I did every encounter before that too.