Heat butter in a large saucepan over medium heat. Whisk constantly. Butter will crackle, then foam. Watch your pan carefully. Within a couple minutes, the butter will turn a golden amber color and give off a nutty aroma. As soon as it turns golden brown, remove from heat. Pour into a medium bowl and let cool for 10-15 minutes until cool enough to handle.
Using an electric mixer, cream the butter and sugars until fluffy and well combined. Add in the egg, egg yolk, vanilla, yogurt, and espresso powder. Mix well – approximately 2 minutes.
In separate bowl, whisk together flour, baking soda, and salt. Turn mixer on low and gradually add the dry ingredients to the wet ingredients until just combined.
Add semi-sweet and dark chocolate chips and stir until just combined. Don’t overmix.
Chill dough for 10 minutes.
Scoop cookie dough onto cookie sheets lined with parchment paper. Use a medium cookie scoop or measure out dough 2 Tbsp. for each cookie. Place 2 inches apart.
This is important! Chill cookie dough for an additional 2-12 hours in the refrigerator. The brown butter needs time to solidify. If you bake the cookies immediately, they will flatten out and spread all over.
Preheat the oven to 350°F. Pull cookie sheets out of the refrigerator and immediately place into the oven.
Bake the cookies for 9-11 minutes until the edges of the cookies begin to turn golden brown. Cool the cookies on the sheets for 5 minutes to allow for carryover cooking. Sprinkle each with a pinch of flaky sea salt.
Transfer the cookies to wire racks to cool completely. Makes 24-30 cookies.