This strategy involves a party setup similar to the next mission, which is why it might be beneficial. The format is: 1 tank (NIN used, but PLD/NIN would work), 3x DD/NIN, 1x RDM/BLM, 1x Healer. In both of the first two rooms, the BLU sleeps easily even though the gears do not. The RDM will run in and sleep II the BLU, then each of the melees will grab one of the Imperial Gears. The healer will watch the party; the RDM will watch the BLU, while the melees handle the gears. Once the gears are down, focus on the BLU.