Battle Angel Alita, Vol. 1 by Yukito Kishiro

In a dystopian future where the wealthy live in a floating city above the impoverished Scrapyard below, a cybernetic doctor named Ido discovers the remains of a female cyborg in a junk heap. After restoring her, he names her Alita, and she embarks on a journey of self-discovery, grappling with fragmented memories of her past life as a formidable warrior. As Alita navigates the harsh realities of her world, she becomes entangled in battles against powerful foes, uncovering her own strength and the mysteries of her existence.

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