Brown butter: In a light-colored saucepan over medium heat, melt butter, swirling occasionally. Cook until amber with brown specks and nutty aroma. Immediately remove from heat and pour into a large bowl. Cool 10-15 minutes.
Mix wet: To cooled brown butter, add brown sugar and granulated sugar. Beat with electric mixer for 2-3 minutes until smooth. Add egg and vanilla, beat until creamy and glossy.
Mix dry: In a separate bowl, whisk together flour, baking soda, and fine sea salt.
Combine: With mixer on low, gradually add dry ingredients to wet. Mix just until combined and no flour streaks remain. Do not overmix.
Add mix-ins: Using rubber spatula, gently fold in chopped chocolate. Then gently fold in 150 g M&M's. Do not overmix—colors may streak.
Scoop and top: Scoop 3-tablespoon dough balls onto parchment-lined tray. Press 5-6 extra M&M's onto tops of each dough ball.
Freeze: Cover tightly with plastic wrap. Freeze 24 hours. Do not skip.
Preheat and prep: When ready to bake, preheat oven to 190°C (375°F). Line baking sheets with parchment.
Bake from frozen: Place frozen dough balls on prepared sheets, 3 inches apart. Bake 11-13 minutes until edges golden and set, centers still soft. M&M's may crack slightly.
Cool: Let cookies cool on baking sheet 5-10 minutes.
Transfer and serve: Transfer to wire rack to cool completely. Store in airtight container.