Preheat your oven to 325°F (160°C) and position the rack in the center. Line a 9x13-inch baking pan with parchment paper or grease it well.
In a medium bowl, whisk together the flour, salt, and baking powder. Set aside.
2 cups all-purpose flour, ¼ teaspoon salt, 2 teaspoons baking powder
In a large mixing bowl, beat the eggs, sugar, vanilla, and lemon zest with an electric mixer on medium-high speed for 2 minutes, until thick and pale.
4 large eggs, 1 ¾ cups sugar, 1 teaspoon vanilla extract, 2 tablespoons lemon zest
Gently mix in the dry ingredients until just combined. Scrape down the sides of the bowl with a spatula.
In a small saucepan, warm the milk and remaining lemon zest just until heated (don’t boil). Remove from heat and stir in the butter and oil until melted and smooth.
1 cup milk, ¼ cup unsalted butter, ⅓ cup vegetable oil
While mixing the batter, slowly pour in the warm milk mixture until fully incorporated.
Pour the batter into the prepared pan and bake for 35–40 minutes, or until the top is set and a toothpick inserted in the center comes out clean. Let the cake cool completely on a wire rack before frosting.