Strawberry Mousse Cake

Name: Strawberry Mousse Cake
Cuisine: World Cuisine
Ingredients: 1/8 cup water; 1/8 cup sugar; 1/4 tablespoon rum (optional); 4 egg yolks, room temperature; 5 egg whites, room temperature; 160g sugar, divided into 60g and 100g; 120g cake flour, sifted; 1/4 teaspoon baking powder, sifted; 45 ml oil; 40 ml water; 40 ml milk; 320 ml strawberry puree (blended from about 320g frozen strawberries); 1 tablespoon lemon juice; 120g sugar; 3.5 teaspoons gelatin + 5 tablespoons cold water; 400 ml whipping cream; 80 ml strawberry puree (blended from 80g frozen strawberries); 80g water; 40g sugar; 1-1/4 teaspoons gelatin + 5 teaspoons cold water; strawberries for decoration, optional