1/4 cup whole milk
2 teaspoons active dry yeast
6 tablespoons (3/4 stick) unsalted butter, at room temperature, plus more for pan
3 tablespoons granulated sugar
3/4 teaspoon salt
1 egg
1 3/4 cups all-purpose flour
For the filling:
3/4 cup (1 1/2 sticks) butter, softened
1 1/2 cups granulated sugar
1/2 teaspoon salt
1/4 cup light corn syrup
1 1/2 teaspoons vanilla extract
2 eggs, at room temperature
1/4 cup whole milk, at room temperature
1 cup cake flour
Powdered sugar, for dusting