Last year, browsing Architectural Digest, Greta Lee came across a mention of a tiny house on a speck of an island along Croatia’s Dalmatian coast called Lopud: sun-drenched, tranquil, isolated. After a grueling five-month shoot for Tron: Ares, the new Disney blockbuster in which Lee has a starring role, she booked it for the following summer, hoping, somehow, the dates might work. Magically they did, and in July, after reaching the island via speedboat, she, her husband, and their two sons, ages six and nine, ascended the 160 steps to the house, which was surrounded by lush cypresses and citrus groves. At last, serenity. Seclusion. Anonymity. No call times, no reshoots, no meetings, no red carpets, no press—no Hollywood.

But then, shortly after Lee and her family settled in, the house

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