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Whisk together the flour, powdered sugar, and salt in a large bowl.
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Cut in the butter until mixture resembles pea-sized crumbs.
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Add the water, 1 tablespoons at a time; toss with a fork until dough holds together. Divide dough in half; cover and refrigerate until firm, at least 30 minutes.
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Meanwhile, melt the caramels and milk together in a saucepan over low heat, stirring constantly; stir in coconut.
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Remove pan from heat; cool.
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Working with 1 portion of dough at a time, roll out on a lightly floured surfact to 1/8" thickness. Cut with a 3" round smooth or scalloped cookie cutter. Gently reroll trimmings and cut to make more cookies.
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Preheat oven to 400*F. Line 2 cookie sheets with parchment paper.
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Beat the egg and water in a cup; set aside.
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Place 1/2 teaspoons caramel mixture in the center of each cookie; moisten edges of dough with the egg mixture.
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Fold dough in half; firmly press edges together to seal.
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Place cookies on the prepared sheets; brush with egg wash. Cut 3 slashes across the top of each cookie with the tip of a knife.
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Bake 15-20 minutes, or until golden brown. Transfer cookies to wire racks and cool completely. Store airtight at room temperature.