Brioche hot cross buns

Name: Brioche hot cross buns
Prep time: 30 min
Cook time: 2 h 30 min
Total time: 2 h 30 min
Yield: 12 portion
Ingredients: butter, unsalted; 200 g whole milk; 50 g sugar; 2 ½ tsp active dry yeast; 2 eggs; 500 g bread flour; 1 tsp nutmeg, ground; 1 ½ tsp cinnamon, ground; ½ tsp clove, ground; 1 tsp sea salt; 250 g dried fruit, mixed; 40 g all purpose white flour; 50 g water; 1 tsp extra virgin olive oil; 1 pinch sea salt; 40 g water; 40 g sugar; butter, unsalted