01 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
02 - In a medium mixing bowl, whisk together flour, baking soda, and salt until fully combined. Set aside.
03 - In a large bowl, cream softened butter, vegetable oil, and granulated sugar using an electric mixer on medium speed until light and fluffy.
04 - Add eggs one at a time, beating well after each addition. Mix in lemon zest, fresh lemon juice, and vanilla extract until incorporated.
05 - Gradually add the flour mixture into the wet ingredients, mixing until just blended and no dry streaks remain.
06 - Gently fold diced fresh strawberries into the dough with a spatula, being careful not to overmix.
07 - Scoop tablespoon-sized mounds of dough onto the prepared baking sheets, leaving 2 inches between each.
08 - Bake in preheated oven for 10 to 12 minutes, or until the cookie edges are lightly golden.
09 - Remove baking sheets from oven and allow cookies to cool on the pan for 5 minutes. Transfer cookies to a wire rack to cool completely.
10 - In a small bowl, whisk powdered sugar, lemon juice, lemon zest, and crushed freeze-dried strawberries if using, until smooth and pourable.
11 - Drizzle glaze evenly over cooled cookies and let sit until the glaze is set before serving.