Swedish Cardamom Buns (Kardemummabullar)

Name: Swedish Cardamom Buns (Kardemummabullar)
Prep time: 2 h 20 min
Cook time: 10 min
Total time: 2 h 30 min
Cuisine: European
Ingredients: 8 cups flour (1000 grams) Highly recommend to use a scale for this recipe!; 1/2 cup + 1 tablespoon sugar (120 grams); 1 teaspoon salt; 1 1/2 teaspoon ground cardamom; 2 1/4 cups milk (500 milliliters); 1/2 cup + 3 tbsp butter (160 grams); 1.7 ounce fresh yeast (50 grams) See notes below*; 1 egg (+ 1 for brushing); Pearl sugar (optional); 3/4 cup + 2 tablespoons softened butter (200 grams); 7/8 cups granulated sugar (170 grams); 3 tablespoons ground cardamom (roughly 10-15 grams whole pods)