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The British actor will join Mia Wasikowska (Alice), Matt Lucas (Tweedledum and Tweedledee) and Johnny Depp (The Mad Hatter) in the Disney film.
The Queen star also has a role lined up in the Samuel L. Jackson thriller Unthinkable, about US intelligence agents who question a terrorist threatening to detonate a nuclear bomb in the US.
Sheen can next be seen as David Frost in Ron Howard's BFI London Film Festival-opener Frost/Nixon.
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