Levain-ish chocolate chip cookies (modern honey version)

1 c cold butter, cubed
1 c brown sugar
1/2 c sugar
2 eggs
1 1/2 c cake flour
1 1/2 c flour
1 tsp cornstarch
3/4 tsp soda
3/4 tsp salt
2 c choc chips
2 c walnuts

Bake 410F 9-12 min