Para Pacem mission at Conflictus "speak with captain Tilly" there is no interaction button anywhere on the ship to speak to Captain Tilly stuck on ship with no where or way to proceed through the episode.
"The undiscover'd country from whose bourn No traveller returns" ~ Hamlet by William Shakespeare & Star Trek VI
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I had the same thing happen with a fleetmate the other day, I finished the cutscene only to be stuck in the turbolift with no way to get to the bridge or continue the mission, leaving us to do exactly what goldenavariel said.
The problem was that he skipped the cutscene while I didn't, which lead to him getting a transfer map window which was automatically declined by me - since I was in a cutscene and never got any notification.
So it seems you have to decide for everyone to skip the cutscene or for everyone to watch it - otherwise the whole team gets stuck.
Until they fix it everyone will need to escape from the cutscene within a few seconds of it starting up so they can accept the transfer. If you want to see the cutscene you'll need to run it solo or catch one of the play-through videos on YouTube.