Preheat the oven to 350°F. Grease a 9×9 inch light metal baking pan and line it with parchment paper.

In a medium bowl, whisk together the all purpose flour, pumpkin pie spice, baking powder, baking soda, and salt. Then set aside the flour mixture.

Add the softened butter and granulated white sugar to a large bowl. Cream together for 2 minutes with an electric mixer on high speed.

Then add in the eggs and vanilla and mix on medium speed until pale in color and smooth, about 1 minute.

Add in the buttermilk and canned pumpkin puree and mix on medium-low speed until combined.

Add the dry ingredients to the wet ingredients and mix on low speed until the cake batter is combined. Scrape the sides of the bowl with a rubber spatula as necessary.

Pour the batter into the prepared baking pan. Bake the cake for 35-38 minutes, or until a toothpick comes out clean from the center.

Let the cake cool in the pan on a wire rack for 30 minutes, then pull up on the parchment paper to release it from the pan. Let the cake continue cooling on the cooling rack until completely cooled.

While the cake cools, make the latte milk soak by mixing together the espresso, milk, sweetened condensed milk, pumpkin pie spice and vanilla extract in a liquid measuring cup or something easily poured from.

While the cake cools, make the cream cheese frosting by adding the butter to a large bowl. Whip the butter on high speed with an electric mixer until pale and fluffy, 5-10 minutes.

Then add in the cold cream cheese and mix on medium speed until combined and fluffy.

Sift in the powdered sugar a little at a time and mix on low speed until all is combined, then on high speed for about 1 minute until fluffy.

Dissolve the instant espresso powder into the vanilla extract in a small ramekin. Then add it to the frosting along with the pumpkin pie spice and mix on medium-low speed until combined, then on high speed until light and fluffy again.

When the cake is completely cooled, cut a very thin layer off the top of the cake off using a sharp knife.

Transfer it to a serving plate. Poke holes on the top of the cake using a wooden stick or the handle of a wooden spoon.

Slowly pour the latte mixture on top of the cake.

Frost the top of the cake with a thick layer of espresso cream cheese frosting using an offset spatula.

Sprinkle pumpkin pie spice on top of the frosting, then cut into 16 slices and serve!