In another bowl, whisk the eggs, sugar and vanilla with an electric mixer until the mixture is pale, tripled in volume and falls from the beaters in a ribbon, about 10 minutes. With the machine running on low speed, gradually drizzle in the oil. Delicately fold in the dry ingredients using a whisk. Spread the mixture out in the prepared baking dish.
Bake for 30 minutes or until a toothpick inserted in the centre of the cake comes out clean. Using a toothpick or bamboo skewer, make several dozen small holes in the cake.
Milk Syrup
In a bowl, combine the three types of milk. To soak the cake uniformly, gradually pour some of the milk mixture over the centre of the cake as soon as it comes out of the oven. Let the cake soak up all the liquid before pouring the remaining milk mixture over the entire surface of the cake. Let cool completely, about 1 hour. Refrigerate for 2 hours.
Assembly
In a bowl, whisk the 35% cream, sugar and vanilla with an electric mixer until stiff peaks form. Spread the whipped cream over the chilled cake. Top with the fruits and sprinkle with the lime zest. The cake will keep for 3 days in the refrigerator.
Note from Ricardo
The coconut milk can be replaced with 1 can (354 ml) unsweetened evaporated milk.