In a medium bowl, whisk flour, baking soda, ginger, cinnamon, pumpkin spice, and salt together. Set aside.
Using a small saucepan, heat molasses and corn syrup together just until lukewarm.
In another small saucepan, heat milk and brown sugar just until sugar has melted and mixture is lukewarm.
While the milk mixture and the molasses mixture are cooling, cut butter into flour mixture with a pastry cutter or a fork, and mix until mixture are fine crumbles.
Add milk mixture into flour mixture and stir until combined. Then add molasses mixture. Stir.
Add egg and whisk until incorporated.
Pour into prepared pan and bake for 40-45 minutes or until toothpick inserted comes out clean.
Let cake cool completely in pan then remove from pan.