Before anything else, melt your butter in a saucepan over medium heat, stirring often. Watch for little brown flecks to form and a nutty smell to fill your kitchen, then pull it off the heat immediately. Pour it into a bowl and let it cool in the fridge for about 20 minutes until it's soft again.
Using your mixer, beat the cooled brown butter with the light brown sugar and granulated sugar until the mixture looks smooth and creamy. This step builds air into the batter, which helps give the blondies their slightly crisp top once baked. Don't rush this part.
Beat in the egg and vanilla extract for a full 3-5 minutes until the mixture turns noticeably paler and fluffier. Then mix in the pumpkin puree until fully combined. This is where the batter starts smelling like actual pumpkin dessert.
Add the flour, pumpkin pie spice, baking powder, and salt directly into the bowl. Mix just until everything disappears into the batter, since overmixing here can make the blondies tough instead of tender. The dough should look thick, wet, and a little sticky.
Switch to a spatula and gently fold in the chocolate chips by hand. This keeps you from overworking the batter while still evenly distributing every chip. Save a small handful to press on top for looks later.
Line your 9x9 pan with a parchment sling, spray it lightly, and press the batter into an even layer using damp fingertips. Press a few extra chocolate chips on top if you want that picture-perfect finish. It doesn't need to be flawless, just even.
Place the whole pan in the fridge for 15-20 minutes before baking. This little chill firms up the fat in the batter and helps the blondies bake up thicker instead of spreading thin. Meanwhile, preheat your oven to 350°F.
Bake for 30-35 minutes until the top turns golden and a toothpick comes out mostly clean with a few moist crumbs. Let the pan cool completely before lifting the blondies out with the parchment. Slice into squares and finish with a sprinkle of flaky sea salt.