I just finished all of Petra's and variks' quests, and I thought that's how you get Boolean Gemini but it didn't give it to me.
-
1. Lost and Found 2. The Taken War: Petra 3. Wolves of Mars: Variks 4. Queen's Wrath Rank 3 5. Unlock Patrol on Dreadnaught. Once all these requirements have been met, Petra will have BG for you.