Coffee Buns

Ingredients

• 1/4 cup lukewarm water (105 F-120 F)
• 1 pack or 2 1/4 tsp yeast
• 1/2 tbsp granulated sugar
• 1 1/2 cups + 4 tbsp all-purpose flour, divided
• 2 tbsp granulated sugar
• 1/2 tsp salt
• 2 large eggs, room temperature
• 2 tbsp milk, warm or at room temperature
• 1/4 cup unsalted butter, softened
• extra flour for dusting
• 8 pieces small diced cold butter for filling
• 6 tbsp softened butter
• 6 tbsp granulated sugar
• 1 egg
• 1/2 cup all-purpose flour
• 1 tbsp coffee powder dissolved in 2 tsp water