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It means somebody else worked on some criminal case and now is replaced by the baby. When "übernimmt" stands alone, it is always about some investigation or about steering something like a spaceship.
When it takes over other things like a shop, you had better put that in as an accusative object:
"Das Baby übernimmt den Laden"
"Das Baby übernimmt die Führung der Kampfeinheit 7."
"Das Baby übernimmt die Leitung der Forschungsstation."