Yeasted Cheese-and-Sour-Cherry Coffee Cake

INGREDIENTS

• For the cake:
• 2 1/4 teaspoons (one 1/4-ounce envelope) active dry yeast
• 1/4 cup plus 2 tablespoons plus a pinch of granulated sugar
• 3/4 cup warm milk (110 degrees)
• 1 large egg plus 1 large egg yolk
• 3 cups all-purpose flour, plus more for surface
• Coarse salt
• 1 stick unsalted butter, room temperature, plus more for bowl, pan, and parchment
• 1 large egg, lightly beaten with 1 tablespoon heavy cream, for egg wash
• 1 1/2 cups pitted fresh or thawed frozen sour cherries
• For the filling:
• 12 ounces softened cream cheese
• 1 large egg yolk
• 1/4 cup plus 2 tablespoons confectioners' sugar
• For the glaze:
• 1 cup confectioners' sugar
• 2 tablespoons whole milk