Last "helpful" hint for this event I promise:
For the quest credit that reads "Participate in the FATEs [fate #1] and fate [#2]"...
...you only actually have to get a Bronze participation medal in the second FATE (the one with the bombs that spawn around the edges and move inwards).
So if you arrive late / half way through one of the FATEs, still give it a go. You only need to hit one bomb, once, in the second FATE to complete the quest.
For the quest credit that reads "Participate in the FATEs [fate #1] and fate [#2]"...
...you only actually have to get a Bronze participation medal in the second FATE (the one with the bombs that spawn around the edges and move inwards).
So if you arrive late / half way through one of the FATEs, still give it a go. You only need to hit one bomb, once, in the second FATE to complete the quest.