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Zoë Kravitz is making her directorial debut with “Pussy Island,” a thriller starring Channing Tatum as a tech billionaire and owner of a private island.

The film follows a young Los Angeles cocktail waitress named Frida, who has her sights set on tech mogul Slater King, played by Tatum. Frida makes her way into King’s inner circle and attends an intimate gathering on his private island, where she will have the journey of a lifetime. Despite the beautiful location and wealthy people, Frida uncovers that there’s more to the island than meets the eye — something terrifying.

Kravitz wrote the script with E.T. Feigenbaum, and she will produce alongside Bruce Cohen of Bruce Cohen Productions, Tiffany Persons and the production companies Free Association and This Is Important.

FilmNation will handle international rights and CAA Media Finance will represent domestic rights at the upcoming Cannes Market.

Kravitz will next play Catwoman in Matt Reeves’ highly anticipated superhero film “The Batman,” starring Robert Pattinson as the Caped Crusader. She’s previously starred in “Mad Max: Fury Road,” “X-Men: First Class,” “Divergent” and Hulu’s “High Fidelity” series, which she also produced.

Tatum will star in the upcoming film “The Lost City of D” alongside Sandra Bullock, the animated parody “America: The Motion Picture” and star and co-direct “Dog” with Reid Carolin. He’s previously starred in the “Magic Mike” films, the “21 Jump Street” comedies, “Kingsman: The Golden Circle,” “Logan Lucky,” “Hail, Caesar” and “The Hateful Eight.

Kravitz is repped by CAA and Untitled, and Tatum is repped by CAA.