For the cake:
1 1/2 cups all purpose flour
2 teaspoons baking powder
1/2 teaspoon kosher salt
1 cup plain whole milk yogurt
1 1/3 cups sugar, divided
3 extra large eggs
2 teaspoons grated lemon zest (about 2 lemons)
1/2 teaspoon vanilla extract
1/2 cup vegetable oil
1/3 cup freshly squeezed lemon juice

For the glaze:
1 cup confectioner's sugar
2 tablespoons freshly squeezed lemon juice