Baked Brown Butter Beignets

Ingredients

• 8 tablespoons unsalted butter
• 3/4 cups warm water (110-115°F)
• 1/2 cup granulated sugar
• 1 (0.25oz) package (7g) or 2 1/4 teaspoons Red Star Active Dry Yeast
• 3 1/2 cups bread flour
• 1 teaspoon table salt
• 1 large egg, lightly beaten
• 1 1/2 tsp vanilla paste
• 1/2 cup plus 2 tablespoons whole milk, divided
• Brown butter, reserved from dough (for brushing)
• 2 cups confectioner's sugar
• 1 tablespoon orange zest (about 1 large orange)
• 3 tablespoons fresh orange juice (about 2 large oranges)