Golden Brioche

Preparation Place 1/3 cup warm water, warm milk, and yeast in bowl of standing heavy-duty mixer; stir until yeast dissolves. Fit mixer with dough hook. Add flour and salt to bowl; mix on low speed just until flour is moistened, about 10 seconds. Scrape sides and bottom of bowl. Beat in 3 eggs on low speed, then add sugar. Increase speed to medium and beat until dough comes together, about 3 minutes. Reduce speed to low. Add butter, 1 piece at a time, beating until each piece is almost incorporated before adding next (dough will be soft and batter-like). Increase speed to medium-high and beat until dough pulls away from sides of bowl, about 7 minutes. Cover bowl with plastic wrap. Let dough rise at room temperature until almost doubled in volume, about 1 hour. Lift up dough around edges and allow dough to fall and deflate in bowl. Cover bowl with plastic and chill until dough stops rising, lifting up dough around edges and allowing dough to fall and deflate in bowl every 30 minutes, about 2 hours total. Cover bowl with plastic; chill dough overnight. Butter and flour three 7 1/2x3 1/2x2-inch loaf pans. Divide dough into 3 equal pieces. Cut each dough piece into 4 equal pieces. Roll each into 3 1/2-inch-long log, forming 12 logs total. Arrange 4 logs crosswise in bottom of each prepared loaf pan. Place loaf pans on baking sheet. Cover pans with waxed paper. Let loaves rise at room temperature until dough almost fills pans, about 2 hours. Preheat oven to 400°F. Gently brush top of loaves with egg glaze. Bake until loaves are golden brown and sound hollow when tapped, about 30 minutes. Cool in pans on racks 15 minutes. Turn loaves out onto racks; cool at least 1 hour. (Can be made ahead. Cool completely. Wrap loaves in foil; place in resealable plastic bags and store at room temperature 1 day or freeze up to 1 month. Rewarm room-temperature or thawed loaves wrapped in foil in 350°F oven about 15 minutes, if desired.)