Preheat oven to 325°F (163°C). Spray a bundt pan well with nonstick cooking spray and set aside.
In a large mixing bowl, whisk together the flour, ground cinnamon, ground allspice, baking soda, and salt. Set aside.
In a separate large mixing bowl, whisk together the oil, granulated sugar, brown sugar, eggs, and vanilla extract until fully combined. Add the dry ingredients and mix until just combined, the batter will be pretty thick at this point.
Add the chopped apple and gently fold it into the cake batter. Scoop the batter into the prepared bundt pan and spread it around into one even layer.
Bake at 325°F (163°C) for 60-65 minutes or until a toothpick inserted into the cake comes out clean. Tent with foil for the last 10-15 minutes of baking if needed to prevent excess browning.
Remove from the oven and place on a wire rack to cool for 20 minutes, then carefully flip onto the wire rack, remove from the pan, and allow to cool completely.