Dough
6 tablespoons (85 grams) unsalted butter, to be divided
1/2 cup (120 ml) whole milk, warmed (but not over 116 degrees)
2 1/4 teaspoons active dry yeast (from 1 .25-ounce or 7 gram envelope yeast)
3 1/2 cups (440 grams) all-purpose flour, plus extra for rolling out
1/4 cup (packed) (50 grams) light or dark brown sugar
1/4 cup (50 grams) granulated sugar
1 teaspoon (6 grams) table salt
1/2 teaspoon ground cinnamon
1/4 teaspoon freshly grated nutmeg
1/8 teaspoon ground cardamom (optional)
1/4 teaspoon ground ginger
2/3 cups (160 grams) pumpkin puree, canned or homemade
1 large egg
Oil for coating rising bowl

Filling
3/4 cup (packed, 145 grams) light or dark brown sugar
1/4 cup (50 grams) granulated sugar
1/8 teaspoon table salt
2 teaspoons (5 grams) ground cinnamon

Glaze
4 ounces (115 grams) cream cheese, softened
2 tablespoons (30 ml) milk or buttermilk
2 cups (240 grams) powdered sugar, sifted
Few drops vanilla extract (optional)