Start by preheating your oven to 350°F (175°C) and greasing an 8x4-inch loaf pan to ensure your bread doesn't stick.
In a medium bowl, whisk together the all-purpose flour, whole wheat flour, cinnamon, nutmeg, allspice, baking powder, baking soda, and salt. This will be your dry mix.
In a larger bowl, combine the pumpkin puree, almond milk, sugar, oil, eggs, and vanilla extract. Whisk these wet ingredients until they're smooth and well blended.
Gently fold the dry ingredients into the wet mixture. Stir until just combined to keep the bread tender—be careful not to overmix.
Pour the batter into your prepared loaf pan. Bake in the preheated oven for about 45 to 50 minutes. Check doneness by pressing lightly on the top of the bread; it should spring back, or insert a toothpick in the center that should come out clean.