Preheat oven to 175°C / 350°F, Grease and line an 8x8 inch pan with parchment paper.
Prepare cream cheese layer: Whisk cream cheese, egg, vanilla, and sugar until smooth.
Prepare brownie layer: Brown butter in a saucepan over medium-low heat, stirring every 10 seconds. Once milk solids from butter sink and turn golden brown, transfer to heatproof bowl.Add cocoa powder, oil, vanilla, and chopped chocolate; mix until dissolved. Let the mixture cool at room temperature for 15-20 mins
Whisk eggs and light brown sugar ( for 4-6 min ) until dissolved and mixture turns into light pale in color.
Add powdered sugar; mix until combined. (1-2 min )
Combine with browned butter mixture,mix until combined. Add flour, and chocolate chips. Mix until just combined don't over the batter.
Transfer half of brownie mixture to prepared pan. Reserve 30g / 2-3 tbsp cream cheese mixture; add remaining on brownie mixture.
Top with remaining brownie batter; add reserved cream cheese mixture. Make swirls. Bake for 40-45 minutes or until the edges are golden and center is a little fudgy. Let cool completely before cutting.
