Preheat the oven to 350° F.
Add the butter to a small sauce pot over low to medium heat and cook for 9 to 11 minutes, or until it becomes very foamy. The goal is to toast the milk solids in the butter. They should be lightly browned at the end and have a nutty taste and aroma.
Add in 2 tablespoons of heavy cream. Transfer to a separate container and chill it in the fridge for 30 minutes, or for a quicker option, in the freezer for 15 minutes.
In a large bowl, sift in the flour, baking powder, baking soda, salt, and cornstarch.
Add the brown and granulated sugar to the bowl of a stand mixer. Using the whisk attachment, mix on low speed.
At this point, add in the chilled browned butter and then whisk on high speed for 3 to 4 minutes. It will become light and fluffy. Stop and scrape the bowl as often as needed.
Add the eggs one at a time, mixing until incorporated after each addition. Mix in the vanilla just until combined, then stop, scrape down the sides of the bowl, and beat on high for 10 seconds.
Turn the speed down to low and add in the dry ingredients in 3 equal batches. Don’t add the next batch until the previous batch is fully mixed. Stop and scrape after the second batch is added in.
After the third and final batch of dry ingredients is just mixed in, remove it from the stand mixer.
Next, thoroughly fold in the chocolate chips along with the cut-up bittersweet chocolate using a rubber spatula. For the little extra chunks or shavings from cutting it up, briefly set them aside.
Using a 3- to 4-ounce scooper, or rolling them by hand, make 12 equal-sized cookies.
Place 6 of them on a half-sheet tray lined with parchment paper, evenly spaced apart. You will need 2 sheet trays.
Take the little extra cut-up chocolate shavings and sprinkle them evenly on top of the cookies. Bake on the middle rack at 350° for 16 to 18 minutes, or until the outer edges begin to brown.
As soon as you remove the cookies, place them on a cooling rack and season the tops with a very small pinch of Maldon salt.
Cool them and eat them.
