Chop the chocolate coating and melt it over a warm water bath. Separate eggs. Cream egg yolk, 6 tablespoons of cold water and 85 g sugar with the whisks of the hand mixer. Beat the egg white and 85 g sugar until stiff. Stir flour, baking powder and oil in several portions into the whipped egg yolk.
Then gradually fold in the egg white. Divide the dough into two portions. Mix cocoa, milk and couverture into one half and 3 tablespoons of coconut milk into the other half. Place the dough alternately with a tablespoon always in the middle (in the same place) in a greased springform pan (22 cm Ø). Bake in the preheated oven (electric cooker: 175 °C/ convection oven: 150 °C/ gas: level 2) for about 40 minutes. Let the cake cool down a little on a cake rack, remove from the tin. In the meantime, stir the starch and 2 tablespoons of sugar in a little water until smooth. Bring the rest of the coconut milk to the boil, stir in the starch, bring to the boil again and boil for 1 minute. Pour into a bowl and let cool while stirring occasionally.
Let the cake cool down a little on a cake rack, remove from the tin. In the meantime, stir the starch and 2 tablespoons of sugar in a little water until smooth. Bring the rest of the coconut milk to the boil, stir in the starch, bring to the boil again and boil for 1 minute. Pour into a bowl and let cool while stirring occasionally. Stir cream cheese into the coconut pudding and spread on the cake. Decorate with coconut chips and arrange on a plate