Preheat the oven to 350°F (175°C). Grease a 10-cup to 12-cup bundt pan with non-stick baking spray or shortening.
Beat the butter and 1 1/2 cups of sugar in a large bowl on medium speed until light and fluffy. Mix in the baking powder and salt.
Add the first three eggs one at a time, mixing until each is absorbed into the batter.
Mix in 2 tablespoons of the flour. Add the fourth egg, mix, and add another 2 tablespoons of flour. Repeat this alternating pattern for the fifth and sixth eggs.
Stir the 1 tablespoon of vanilla extract and the almond extract into the milk.
Fold one-third of the remaining flour into the batter. Mix in half the milk. Repeat with another third of the flour, the rest of the milk, and the final portion of flour. Beat on medium-high for 20 to 30 seconds until smooth.
Pour the batter into the prepared pan. Bake for 50 to 60 minutes, or until a toothpick inserted into the center comes out clean and the internal temperature reaches 160°F (71°C) for egg safety.
Cool the cake in the pan for 10 minutes, then invert it onto a wire rack to cool completely.
Make the glaze by heating the 1/3 cup sugar, water, and 1/8 teaspoon salt in the microwave just until the sugar dissolves. Stir in the 2 teaspoons of vanilla and brush over the cooling cake.