For the dough

• 1/2 cup plus 2 Tbsp unsalted butter
• 2 cups plus 2 Tbsp whole milk
• 2 packages instant yeast (2 packages contain 1/2 oz. or 4 1/2 teaspoons of yeast.)
• 1 tsp salt
• 1/2 cup granulated sugar
• 5 3/4 cup all purpose flour

For the filling

• 10 Tbsp unsalted butter, softened
• 1/2 cup granulated sugar
• 1 1/2 Tbsp ground cardamom

For the glaze

• 1/2 cup granulated sugar
• 1/4 cup water
• 1/2 tsp vanilla extract