Preheat oven to 350 degrees F. Position an oven rack in the middle.
In a bowl, mix flour, baking powder, baking soda, and salt and whisk well to combine. Set aside
Using a stand mixer fitted with the paddle attachment, beat the butter, sugar, and brown sugar on medium speed until light and fluffy.
Scrape down the sides of the bowl with a spatula and add the egg on low speed, blending till combined. Add vanilla extract.
Scrape the sides of the bowl again, then add the oats and mix till very evenly combined.
Portion into balls about 2 tablespoons in volume and place on a sheet tray lined with baking paper, about 3 inches apart because the cookies will spread.
Bake one tray at a time for 12-15 minutes each, rotating halfway, till evenly golden brown all around the cookie. Let cool on the tray, then continue baking the rest.