Preheat oven to 180°C. Line a 22-centimetre square baking tin with paper, leaving excess above the rim so that you can remove the brownie easily. Butter all of the paper.
Place the cream cheese, sugar, vanilla paste and eggs into the Thermomix bowl and blend 15 seconds/speed 7. Set mixture aside.
Without washing the bowl, place butter, chocolate and coffee into the Thermomix bowl and melt 10 minutes/37°C/speed 1. Check halfway through that all the chocolate is combined and melting. Scrape down if needed.
Add all the remaining ingredients and combine 20 seconds/speed 9. Scrape down sides of the bowl and repeat.
Spread brownie batter into prepared tin.
Top with the cheesecake mixture and, using a spatula, swirl through and spread to level.
Bake for 20 minutes. Cool completely before cutting (unless you just cannot wait). These brownies will improve in texture over a few days.
Store in an airtight container at room temperature.