Using a saucepan over medium heat add the unsalted butter. Allow the butter to melt with occasional stirring of the pan. Cook the butter for 5-8 minutes. The butter will begin to brown when foam occurs. Once you notice a nutty scent, remove the butter from the heat. Add the brown butter to the bowl of an electric mixer.
In a separate bowl, whisk together the all-purpose flour, baking soda, and kosher salt. Set aside.
Chop up the semisweet chocolate into little chunks. Set aside.
Using an electric mixer on medium speed, mix together the brown butter, granulated sugar, and brown sugar. Mix until well combined.
Next add the eggs and vanilla extract to the electric mixer. Mix well. Lastly, add in the flour mixture. Continue to mix for 1 minute.
Remove the bowl from the electric mixer. Fold in the chocolate wafers and chopped semisweet chocolate. Allow the dough to rest at room temperature uncovered for 1-2 hours.
Preheat the oven to 375 degrees F.
Using a 1 ½ tablespoon cookie scoop, portion out the cookie dough on parchment paper. Leave at least 3 inches between each ball of cookie dough. Do not flatten out the cookie dough.
Bake the cookies for 8-11 minutes or until the edges of the cookies are golden brown. Allow the cookies to cool for a few minutes before transferring to a wire cooling rack.
Repeat this process for the remaining cookie dough.