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1. Melt the butter in a saucepan over medium heat.
2. Continue cooking, swirling occasionally, until the butter turns golden brown and has a nutty aroma (about 5-7 minutes).
3. Remove from heat and let cool slightly.
4. In a large bowl, whisk together the brown butter, granulated sugar, and brown sugar until well combined.
5. Beat in the egg and vanilla extract until smooth.
6. In a separate bowl, whisk together the flour, baking soda, and salt.
7. Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
8. Fold in the chocolate chips.
9. Cover the dough and chill in the refrigerator for at least 30 minutes (or up to 24 hours).
10. Preheat oven to 375°F (190°C).
11. Roll the dough into balls and place them on a baking sheet lined with parchment paper.
12. Bake for 9-11 minutes, or until the edges are golden brown and the centers are still slightly soft.
13. Let cool on the baking sheet for a few minutes before transferring to a wire rack to cool completely.

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