Preheat the oven to 350 degrees F. Lightly coat three 6"-diameter cake pans with nonstick spray. Line the bottom of the pans with round-cutout parchment paper.
Whisk cake flour, cinnamon, nutmeg, ground gloves, baking powder, baking soda, and salt in a medium size bowl.
Grate the carrots and remove access liquid by squeezing the carrots out.
Using an electric mixer on high speed, beat the brown sugar, vanilla extract, granulated sugar, and eggs until a pale and thick consistency is noticed. Roughly 3 minutes.
Reduce the electric mixer to a low-medium speed and slowly add in the grapeseed oil.
Slowly start to add the dry ingredients into the electric mixer. Waiting until the flour is completely incorporated before adding another addition of dry ingredients.
Remove cake batter from mixer and fold in the grated carrots and choppe walnuts.
Scrape the batter into prepared cake pans evenly. Bake for 30-40 minutes. Rotate the pans halfway through baking using a toothpick to check for a full bake. When the toothpick is removed from the center of the pan clean remove the cake from the oven.
Transfer pans to a cooling rack and let the cakes cool for 10 minutes. Invert the cake onto the cooling rack and remove the parchment paper. Allows the cake to completely cool before adding frosting and assembling.