We need to get to the basement, but there is no elevator taking us there; the one Snake entered on floor 1 of building #2 only moves up. All the way up to the roof, battle a few annoyed guards in search for an elevator that goes down.
Compared to building #1, building #2 is a maze. There are plenty of places to go where you will hit a dead end because you are missing an important keycard. So, listen to what the hostages you rescue have to say. They give clues on where to go and what to do.
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