Adjust the oven rack to the middle position and preheat it to 350℉. Line a sheet pan with a silicone mat or parchment paper. (I use a silicone mat.)
In a medium bowl, whisk flour, baking powder, baking soda, and salt together.
2 and ¼ cup all-purpose flour, 1 teaspoon baking powder, ½ teaspoon baking soda, ½ teaspoon salt
Place 1 and ½ cups of sugar and cream cheese in the bowl to your stand mixer. (Add the remaining ⅓ cup sugar to a small bowl.) Cream until mixed together. Pour melted butter over the mixture and mix together. Add the oil and mix until incorporated.
1 and ½ cups granulated sugar, 2 ounces cream cheese, 6 tablespoons butter, ⅓ cup vegetable oil
Add the egg, heavy whipping cream, and vanilla. Mix until smooth.
1 large egg, 1 tablespoon heavy whipping cream, 2 teaspoons pure vanilla extract
Add the flour mixture and mix on low unti combined.
Using a 2 tablespoon spring-release scoop, scoop the dough out and roll each ball in the remaining ⅓ cup sugar. Place on your sheet pan and with a flat-bottom glass press the ball into a flat 4-inch circle.
+ ⅓ cups granulated sugar
Bake for 11 to 13 minutes in 350℉ oven. (See notes above on cooking time.)