Dirty Pair Flash

Season 1, Episode 2: Darkside Angel

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Kei and Yuri are at an airport, escorting some guys to the plane, but the guys get shot. The girls pursue the assassin, who turns out to be a beautiful but very skilled woman named Lady Flair. After failing to capture her, they notice that she has been apprehended by the Military Police. But Kei doesn't buy that idea, and they storm the military base later, where they are developing giant spider-like robots.