In a small mixing bowl, combine the softened unsalted butter, brown sugar, cinnamon, and flour.
Mix everything together with a fork or spatula until fully combined into a smooth, spreadable paste. Set aside.
FOR THE PUMPKIN BLONDIES
Preheat the oven to 350 degrees Fahrenheit. Spray a 9x9 pan with non-stick spray and line it with parchment paper.
Start by blotting your pumpkin. Spread the pumpkin puree evenly on a flat surface, like a plate or a sheet pan. Place a paper towel over the top and lightly press to absorb the excess liquid. Repeat this step at least five more times. You should have slightly under ¼ cup of pumpkin puree. Alternatively, you can use a cheesecloth to squeeze out the liquid, allowing the pumpkin to form a more cohesive texture, resembling play dough.
In a medium bowl, whisk together the flour, pumpkin pie spice, cinnamon, baking soda, and salt. Set aside.
In another medium-sized bowl, whisk the melted butter, brown sugar, and granulated sugar together until light and fluffy, about 3 minutes.
Whisk in the egg and egg yolk one at a time, whisking by hand for about 30 seconds after each addition.
Add the vanilla extract and the blotted pumpkin puree, whisking just until combined.
Using a rubber spatula, gently fold the dry flour mixture into the wet ingredients. Mix until no visible flour remains, being careful not to overmix.
Pour the batter into the prepared pan, spreading it evenly.
Spread the cinnamon filling over the top of the batter with an offset spatula.
Bake for 30-35 minutes, until the center is slightly puffy and a toothpick inserted into the center comes out with just a few moist crumbs.
Allow the blondies to cool completely in the pan before frosting.
For the Cream Cheese Frosting:
In the bowl of a stand mixer fitted with the paddle attachment, beat the softened cream cheese on medium speed until smooth and creamy.
Scrape down the sides and bottom of the bowl with a rubber spatula, then add the butter. Cream on medium-high speed for 1 minute.
Add the sifted powdered sugar, vanilla, cinnamon, and a pinch of salt. Mix on low speed until incorporated, then increase the speed to medium-high and beat for 2 minutes.
Adjust the consistency as needed: If the frosting is too thin, add more powdered sugar; if too thick, add a dash of heavy cream.
Once the blondies are completely cool, spread the frosting evenly over the top with an offset spatula.
Notes
***Blotting the pumpkin puree is crucial to remove excess moisture, ensuring the blondies are dense and chewy, not cakey.