Preheat oven to 350˚F. Coat a 9x9-inch square baking dish with cooking spray.

Separate two eggs, adding each egg white to a separate bowl and discarding the yolks.

In a medium bowl, use a hand mixer to beat butter and 3/4 cup sugar together until crumbly. Add one whole egg, two egg whites, and vanilla, beating until combined.

In a small bowl, stir together flour and cocoa powder. Gradually add the dry ingredients to the wet, beating until blended.

Fold in chocolate chips. Pour in batter into the prepared baking dish. Set aside.

In a separate small bowl, beat cream cheese, remaining 1/4 cup sugar, and food coloring until combined.

Drop the cream cheese mixture on top of the brownie batter in tablespoonfuls. Use a knife to cut it into the batter, making a swirl.

Bake for 25 to 30 minutes, until the edges are set and pull away from the sides of the pan. Cool in the pan completely on a wire rack.