Line an 8x8 baking dish with parchment paper and set aside.
For the Brown Butter
Melt butter in a medium sauce pan on medium heat. Stir the butter to make sure it melts evenly. Once the butter is completely melted, it will start to foam up. Continue stirring the butter. As it cooks, it will start to change into a deeper color. This could take 6-8 minutes. You'll start to notice a nutty aroma and the butter will begin to have brown specs at the bottom of the pan. The entire process of browning butter from start to finish should not take more than 10 minutes on medium heat.
10 tablespoon (140 g) unsalted butter
Once butter is browned, pour it into a heat proof bowl and set it aside to cool for about 5 or 10 minutes.
For the Blondies
Mix the batter: In a medium bowl, add cooled brown butter and sugar and mix using a spatula until combined. Add the egg, yolk, and vanilla and mix until combined. Add the salt and espresso powder and mix. Then add the flour and mix until almost all streaks are gone. Lastly, add the chocolate and caramel chips and mix until just all incorporated. Do not over mix.
1 cup (200 g) brown sugar, 1 egg + 1 egg yolk, 2 teaspoon (8 g) vanilla extract, ½ teaspoon (3 g) salt, ¼ teaspoon (0.25 g) espresso powder, 1¼ cup (150 g) all purpose flour, 2 oz (56.7 g) chocolate, chopped (chips works too), ½ cup (118.29 g) caramel chips
Bake the Blondies: Pour the batter into the prepared baking pan, top with extra bits of chocolate and caramel chips, and bake for 20-25 minutes. You'll see the sides get a little light brown and the middle will have puffed up some. A toothpick inserted in the center should come out clean. Don't over bake.
Remove from oven and allow to cool before slicing.
Notes
Butter:
Depending on what type of butter you use, you'll end up with different amount of butter once browned. I tend to use butter that is higher in fat percentage, so I end up with around 115-120g of butter left after browning. If I'm using butter that contains more water content, then I'll end up with less. It's ok if you end up with less. I've tried these blondies with different types of butter and they end up delicious regardless.