Well, we finished it.

This took us much longer than Verity. But we also had four people who had never done the hand breaking before this (not the optimal time to learn, of course). They did well, but after a bit of time, we had to cycle out. Despite our clan members doing great, time restrictions forced us to use the Team Finder function, which was very pleasant. Two of the six guardians we had for this completion were from Team Finder.

Timestamps:
00:00-03:16 - First Cycle and DPS
03:17 -07:37 - Second Cycle and DPS
07:38-10:05 - Third Cycle and DPS
10:06-10:35 - Final Stand
10:36-11:21 - Relief

After finally getting this done, here is what I could throw in for advice:

Warlocks with the speaker helmet are a gem here. Constant restoration and orb generation are lifesavers. We only used one speaker helmet here, but two may have been more optimal.

Still Hunt, even after the nerf, is still the DPS choice of snipers, and the additional mods help out from the artifact. Whisper is great... However, that is a much safer strategy to use on normal runs.

You have a lot more time than you're likely giving yourself. We did have a lot of close calls in earlier runs, but survivability is the name of the game. Smart ad clear, and having everyone take out a single subjugator at a time after DPS was the best thing we could do here.

Plan for a three-phase unless you are stacked with Hunters to send in two. We had optimal DPS in earlier phases, but the ammo economy is where we missed the mark.

If you have a Titan, have them put a barricade up on the left side of the platform during DPS as the platform is rising. We wiped during the final stand twice due to suspension from the subjugator.

Square resonance and Triangle resonance are buggy if you're trying to get them while on stairs. When trying to get these buffs, try to be on a level surface or the most level surface.

That's about it. This was rough and probably the most frustrating for the team. But overall, it's not the hardest challenge in Destiny by a long shot or annoying (Queue Warpriest Master Challenge).