Thandai Poke Cake

Name: Thandai Poke Cake
Ingredients: Nonstick vegetable oil spray or unsalted butter, room temperature (for pan); 1¾ cups (219 g) all-purpose flour; 1½ tsp. baking powder; ¾ tsp. baking soda; ¾ tsp. Diamond Crystal or ½ tsp. Morton kosher salt; ½ cup sour cream, room temperature; ½ cup whole milk, room temperature; ¾ cup (150 g) granulated sugar; ½ cup (1 stick) unsalted butter, room temperature; 2 Tbsp. vegetable oil; 1 tsp. vanilla extract; ½ tsp. almond extract; 2 large eggs, room temperature; ¼ cup Thandai Masala; 8 oz. cream cheese, room temperature; ½ cup (or more) whole milk, room temperature, divided; 5 Tbsp. powdered sugar, divided; 1 Tbsp. Thandai Masala; 1 cup chilled heavy cream