Here is the steps to get the weapon:
1. Complete "Lost and Found"
2. Complete "The Taken War: Petra"
3. Complete "Wolves of Mars: Variks"
4. Attain Rank 3 in Queen's Wrath. After completing The Taken War, Petra will have 3 Taken bounties each week that will net you 1000 rep.
Once all this is finished, Petra will have BG for you.
English
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Those bounties only rep for 250 a piece for me.
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2 are 250, 1 is 500 = 1000