Preheat your oven to 220C/430F.
In a large bowl, combine your cream cheese, blue cheese, brie (rinds off), and goats cheese (rinds off). Mix using an electric whisk until light and fluffy.
Next, add in the sugar, salt, and pepper and give it another mix.
Crack your eggs one at a time into the mixture, whisking after each egg to combine it with the cheese until you have a smooth mixture.
Pour in your double cream, sprinkle in 2 tablespoon all purpose flour, and add in your chopped chillies. Combine using a hand whisk until everything is incorporated.
Get your baking loaf dish and coat the base and sides with butter. Lay a piece of parchment paper down into the dish, then coat that with another layer of thin butter. Place another piece of parchment paper down into the loaf, but at a slight angle, so the two pieces of paper overlap. Press down so that the paper is tight to the dish.
Gently pour your savoury cheesecake mixture into the dish.
Bake in the oven for 45 minutes or until the top is golden brown, then remove from the oven and leave to cool. Once cool, place in the fridge for 3 hours or until the cheese appetizer is set. Enjoy with sliced baguette!