Reveal Richard to the others is a mission objective in Cult of Personality in Deus Ex: Mankind Divided.
With the emitters disabled, drop back down to the floor level by slipping past the cameras once more. Go up to microphone and interact with it.
Use this to talk with Richard. Mkae your own choices throughout the conversation with Richard. When you come to the options with "Mitigate", choose it to get an Experience Bonus for helping everyone involved. This will conclude the mission.