In a medium bowl, combine 1 cup of warm milk with 2 tablespoons of active dry yeast; let it sit for about 5-10 minutes until frothy.

Incorporate 4 cups of all-purpose flour, 1/2 cup of sugar, 3 large room temperature eggs, and 1/2 cup of softened butter. Mix until a rough dough forms, then knead on a floured surface for about 8-10 minutes until smooth and elastic.

Transfer the kneaded dough into a greased bowl, turning it to coat. Cover with a towel or plastic wrap, and place in a warm area for approximately 1.5 to 2 hours.

Once risen, punch the dough down gently. Divide into three equal pieces and roll into ropes about 16-18 inches long. Braid them together tightly.

Gently lay dyed hard-boiled eggs within the braid, spacing them evenly.

Cover the braided loaf with a towel and let it rise for an additional 30-45 minutes in a warm spot.

Preheat your oven to 350°F (175°C). Brush the loaf with a beaten egg for a golden finish. Bake for 25-30 minutes, or until golden-brown and sounds hollow when tapped.

After baking, cool the loaf on a wire rack for at least 15-20 minutes before slicing.