To get this Black Armory you first need to complete the Master Smith triumph. This means completing the 100 legendary weapon frames that are given from Ada.
Prepare for the legendary weapons with the instructions that the pursuit gives you and finish the ignition to the end.
This shouldn’t be too difficult to do as long as you are matched with people who are competent.
Since most of the people playing the forge are players who are dedicated, looking to re-roll on the most strong and important weapons, your match made teams cannot be that bad!
Once the Master Smith triumph and the 100 legendary weapon frames is completed, go to the Triumphs book section from the start menu and then go back to the Black Armory Badge section on the bottom end to get your Platinum Starling exotic ship.
Lastly, search for the Master Smith triumph and claim it!