Begin by cutting the unsalted butter into small, even cubes. This ensures it melts uniformly when browned later.
In a saucepan over medium heat, melt the cubed butter. Stir frequently until it turns a golden brown and emits a nutty aroma, which should take about 5-7 minutes. Be cautious not to burn it, as browning the butter adds a rich, caramel flavor to the cookies.
Let the browned butter cool slightly before incorporating it into the dough.
In a large mixing bowl, combine the brown butter with caster sugar and light brown sugar. Mix well.
Add the egg yolks and milk to the butter-sugar mixture, and blend until fully combined.
In a separate bowl, sift together the plain flour, baking powder, bicarbonate soda, and cornstarch. Sifting helps eliminate lumps and ensures even distribution of the leavening agents.
Gradually mix the dry ingredients into the wet mixture until a smooth dough forms.
Gently fold in the chopped dark and milk chocolate into the cookie dough. Using chopped chocolate instead of chips allows for even melting, enhancing the cookies' flavor and texture.
Wrap the cookie dough in plastic wrap or place it in an airtight container. Refrigerate for at least 24 hours, or up to 48 hours. Chilling the dough helps develop flavors and maintain the cookies' shape during baking.
Preheat your oven to 180 degrees Celsius. Line a light-colored baking sheet with parchment paper, ensuring it's large enough to space the cookies apart.
Using a cookie scoop or spoon, portion the chilled dough into balls and place them on the prepared baking sheets, leaving enough space between each ball to allow for spreading.
Optionally, add some chopped chocolate on top of each cookie dough ball for a bakery-style touch before baking.
Bake the cookies in the preheated oven for 10-12 minutes, or until the edges are golden brown. Don't worry if the center appears undercooked; it will set as they cool.
After baking, let the cookies cool on the baking sheets for at least 6 minutes before transferring them to a wire rack to cool completely.