Preheat oven to 375 degrees. Place parchment paper on two large cooking sheets.
Mix flour, soda, and salt. Set aside.
Heat 10 Tbsp. butter over medium high heat. Continue to stir until browned with small bits. This takes about 5 minutes. Turn off heat. Add browned butter to a large glass mixing bowl. Combine browned butter with 4 Tbsp. of remaining butter. Stir to melt. Add sugars and vanilla.
Whisk for 30 seconds then let sit for 3 minutes. Do this three times total. During the last whisking segment, add the egg and egg yolk.
Stir in flour mixture, then chocolate chips.
Using a 3.25 oz. dough scoop, scoop dough and form into 10 balls on the cookie sheets. Leave plenty of space between each one.
Bake for 6 to 7 minutes. Take out the cookies and push the sides in using a spatula to create "Big Jenny Style Cookies"-crispy and taller edges with a gooey flatter middle. Bake 2 more minutes if needed.
Push the edges of the cookies again with a spatula.
Let cool on a wire cooling rack. Serve warm or a room temperature.
Notes
Katie's Tips:*In my oven at home, I bake for 8 minutes, take the cookies out, push the edges of the cookies towards the middle of the cookie using a spatula and then put back in the oven for 2 more minutes.*Be sure to add the egg and egg yolk during the third whisking series. If you add the egg when the butter is still too hot, the egg could scramble.*I use a 1/4 measuring cup to make 12 cookies. Sometimes I make them smaller using a regular size cookie scoop. Cook for the same amount of time listed above.*I like eating these the day I make them, but if there are extra (which rarely happens) I keep them in the refrigerator. They are amazing cold as well as warm!