Preheat your oven to 350 Fahrenheit (180 Celsius) and grease your baking pan.
In a mixing bowl combine the flours, zest, baking powder, baking soda, cinnamon, nutmeg, ground cloves and salt. Mix well.
Separate 2 of your eggs. Put your egg whites in a mixing bowl with a small pinch of baking powder and mix until stiff. When turning your mixing bowl upside down the egg white should stay in place.
In a bigger mixing bowl, combine your egg yolks, one whole egg and your brown sugar. Mix on medium for around 1-2 minutes.
Slowly pour the oil into the sugar/egg yolk mixture and mix for another 1-2 minutes.
In 3 parts mix the flour into the egg yolk batter until fully combined. This should take around 2 minutes.
Fold in the grated carrot to the cake batter.
Gently fold in the beaten egg whites into your cake batter, being careful not to take out too much air by over-stirring. The air prevents the cake from being too dense.
Pour the batter into your prepared pan and bake in the preheated oven until a tooth pick comes out clean. This takes around 50 minutes.
Remove the cake from the oven and let the cake fully cool down on a cooling rack.