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In order to begin this quest you must gain access to the inner area of Tenpenny Tower. I think that when you advance to the 10th level of experience you may give it a shot. It's not that you have to deal with powerful monsters, but in order to ensure your victory you may need a lot of points spent in lockpicking, science or speech. Solution: You will probably be given a chance to begin this quest early during the course of the game (if you decide to help Burke), however I would recommend waiting.
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