**Preheat the Oven:** Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper or a silicone baking mat.
**Cream Butter and Sugar:** In a large mixing bowl, beat the softened butter and granulated sugar together until light and fluffy, about 2-3 minutes.
**Add Wet Ingredients:** Mix in the egg, lemon juice, lemon zest, and vanilla extract until well combined.
**Mix Dry Ingredients:** In a separate bowl, whisk together the flour, baking powder, baking soda, and salt. Gradually add the dry ingredients to the wet mixture, stirring until a soft dough forms.
**Chill the Dough:** Cover the dough and refrigerate for at least 30 minutes to make it easier to handle.
**Form the Cookies:** Scoop out 1-tablespoon portions of dough and roll them into balls. Roll each ball in powdered sugar until fully coated.
**Bake:** Arrange the dough balls on the prepared baking sheet, spacing them about 2 inches apart. Bake for 10-12 minutes, or until the edges are set and the tops are crinkled. Avoid overbaking to keep the cookies soft.
**Cool:** Allow the cookies to cool on the baking sheet for 2-3 minutes before transferring them to a cooling rack to cool completely.