'Adventure Week: Taken Over' is part of Giovanni research quests where players capture Shadow Cresselia by battling Team Go Rocket and finishing a Special Research set starting August 8.
This quest is integrated into the 'Adventure Week' event, offering fossil Pokémon as rewards upon completion of the research tasks.
Players need to clear the most recent Giovanni quest in their log to access 'Adventure Week: Taken Over' if it's not appearing, such as the previous one named 'It's a Rocket World'.
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