Preheat oven to 350°F (175°C) and line baking sheets with parchment paper.
In a bowl, whisk together flour, baking soda, and salt.
In another bowl, mix melted and fully cooled butter with brown sugar and granulated sugar until smooth and glossy.
Add egg, egg yolk, and vanilla extract. Mix until thick and cohesive.
Fold in dry ingredients until just combined.
Stir in chocolate chips.
Chill dough for 45–60 minutes, until firm and scoopable.
Scoop dough into 2–3 tablespoon balls. Flatten slightly, place 2–3 mini marshmallows in the center, and seal completely.
Place cookies about 3 inches apart on the baking sheet.
Bake for 10–11 minutes, until edges are set and lightly golden and centers remain soft.
Cool on the baking sheet for 10 minutes before transferring.