Put flour, cornstarch, salt, and baking soda in a medium bowl. Stir to combine.
In another mixing bowl, whisk sugars into cooled, melted butter until thoroughly combined. Mix in egg, egg yolk, and vanilla.
Add flour mixture and stir until just combined. Stir in white chocolate chunks and chopped, dried raspberries.
Roll about 3 tablespoons of dough each into balls. You can roll the dough into balls before or after chilling. I prefer before.
Refrigerate dough for at least 30 minutes, preferably a few hours or overnight, and up to 3-4 days.
When ready to bake, heat oven to 325 degrees F. Bake on a parchment lined baking sheet until just set on top and beginning to turn golden on the edges, about 10-15 minutes, depending on your oven. Cookies will appear undercooked but will firm up when cooling. Let cool on pan for 10 minutes for maximum chewiness, then transfer to a cooling rack.
Store in a tightly covered container. Can be kept at room temperature or, my favorite, in the refrigerator.
Notes
Let the dough chill for at least 30 minutes. A few hours is even better. Chilling gives the dough time to rest and gives a tighter shape. I've left this dough chill overnight which allows the flavor the develop.