Blend the almonds and cashew nuts in a food processor until finely chopped.
Add the oats, coconut oil, maple syrup, and salt to the food processor. Blend again until a homogeneous paste is formed.
Spread and firmly press this mixture into the bottom of the pan.
Refrigerate to harden the base.
Lime and Mango Cream:
Blend the mango with the juice and zest of two limes in a blender to obtain a smooth purée.
Pour the contents of a 400 ml can of coconut cream into a bowl. Mix the solid and liquid parts to get a homogeneous mixture, then divide this mixture into two 200 ml portions. Reserve 200 ml for the coconut mousse.
In a saucepan, combine 200 ml of coconut cream, mango and lime purée, agave syrup, and agar-agar. Bring to a boil, stirring constantly, then simmer for 1 to 2 minutes, still stirring.
Pour directly onto the crunchy base. Refrigerate to set.
Coconut Mousse:
Pour the remaining 200 ml of coconut cream into a saucepan, add the agave syrup, vanilla extract, and agar-agar.
Bring to a boil, stirring constantly, then simmer for 1 to 2 minutes, stirring.
Pour directly over the lime and mango cream layer. Refrigerate to set.
Shiny Mango-Lime Glaze:
Blend 100g of mango to obtain a purée.
Add lime juice, agave syrup, and almond milk. Blend again.
Transfer to a saucepan, add agar-agar, bring to a boil, then simmer for 2 minutes, stirring constantly.
Pour over the coconut mousse. Refrigerate until set.
Finishing Touches:
Decorate the entremet with lime zest and/or some crushed cashew nuts for an elegant final touch.