Hi there. As of Beyond Light launch, the flawless dungeon Triumphs are no longer earned on an individual basis—the entire fireteam must not die. This was stated in a TWAB, but you can also see a response from Bungie here:
https://www.bungie.net/en/Forums/Post/258621780?page=0&sort=0&showBanned=0&path=0
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Thanks for the swift reply and the link! I did try searching, but couldn't find anything concrete.