So... is Assault Lily: Bouquet finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
In a world threatened by monstrous beings called "Huge," humanity's last line of defense lies with teenage girls known as "Lilies." These Lilies wield special weapons powered by their own internal energy to fight back.
Riri Hitotsuyanagi, inspired by a Lily who saved her in the past, enrolls in a Lily academy hoping to become a powerful warrior herself.
At the academy, she reunites with her savior, Yuyu Shirai, but finds that Yuyu is much different than she remembered – aloof and solitary.
Determined to connect with Yuyu and become a Lily, Riri embarks on a journey of training and friendship alongside Yuyu and other classmates, as they prepare to face the ever-present threat of the Huge.