Fresh Apple Cake

Ingredients

• 1 1/4 c. all-purpose flour
• 1 tsp. baking powder
• 1/4 tsp. kosher salt
• 2 large eggs
• 1/2 c. (1 stick) butter, melted and cooled
• 3/4 c. plus 1 tbsp. granulated sugar, divided
• 3 tbsp. dark rum
• 1 tsp. pure vanilla extract
• 3 medium sweet-tart apples (such as Granny Smith or Honeycrisp), peeled, cored, and chopped