Preheat the oven to 350° F (180 C) and grease and flour (or spray) 2 9-inch (23 cm) cake pans and line them with parchment paper.
In a large bowl, add the all-purpose flour, baking powder, salt, cardamom, cinnamon, ginger, cloves, allspice, and black pepper. Stir these together until they are well mixed.
In another large bowl, whisk together the oil, sugar, brown sugar, eggs, and vanilla. Once these are well combined, whisk in the chai milk.
Add the flour mixture to the wet mixture, about 3/4 a cup at a time, whisking gently each time until the flour is incorporated. Be careful not to overmix.
Divide the batter into the two cake pans and bake them at 350° F (180° C) for 23-25 minutes, or until the tops of the cakes spring back when you poke them lightly.