Step 1: Prepare the Jam - In a medium saucepan over medium heat, combine strawberries, granulated sugar, and water. Cook for about 15-20 minutes until thickened.

Step 2: Preheat the Oven - Preheat oven to 350°F (175°C) and prepare two 6-inch round cake pans with parchment paper.

Step 3: Dry Mixture - In a large bowl, whisk together flour, cocoa powder, baking powder, baking soda, and salt.

Step 4: Wet Mixture - In a separate bowl, whisk melted butter, light oil, granulated sugar, and eggs until creamy. Mix in the milk.

Step 5: Combine Batter - Gradually add dry ingredients to wet in three parts, alternating with milk, folding until just combined.

Step 6: Bake - Evenly distribute the batter in prepared pans and bake for 40-45 minutes until a toothpick comes out clean.

Step 7: Cool Cakes - Remove from oven, cool in pans for 10 minutes, then invert onto wire racks to cool completely.

Step 8: Make Frosting - Beat together softened cream cheese and remaining butter until smooth, then add powdered sugar, strawberry jam, and vanilla.

Step 9: Assemble the Cake - Level the cake layers, spread one with frosting and jam, layer the second on top, then crumb coat with frosting.

Step 10: Decorate - Frost entire cake exterior, create swirls, and top with halved strawberries.