So... is Girly Air Force finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 28, 2019
Manga finished: June 08, 2019
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Kei, a refugee fleeing the mysterious Zai threat with his friend, is rescued by a unique aircraft piloted by a girl named Gripen.
Drawn to Gripen and her "Daughter" aircraft, Kei is recruited by the Japan Self-Defense Force to help her overcome flying challenges.
Together with other Anima pilots like Eagle and Phantom, they form a squadron to defend humanity against the invasive Zai, acting as the last line of defense.