So... is Teki wa Kaizoku: Neko-tachi no Kyouen 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)
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
Teki wa Kaizoku: Neko-tachi no Kyouen follows Apulo and Latell, agents of the Division of Space Piracy.
These two, despite their cat-like alien appearance and Apulo's unique ability to manipulate emotions, are tasked with dealing with dangerous cases involving space pirates.
Their methods are...unconventional, often resulting in significant collateral damage.
The anime focuses on their pursuit of Youmei, a particularly troublesome space pirate.
Youmei is attempting to misuse a technology called Computer Aided Thinking for some unknown, but certainly malevolent, purpose, which Apulo and Latell must stop.
It is a tale of space piracy, unusual agents, and a race against time to prevent a technological catastrophe.