**Prepare for Baking:**

Preheat your oven to 350°F (175°C). Grease two 9-inch round cake pans and line the bottoms with parchment paper.

**Mix the Dry Ingredients:**

In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.

**Cream Butter and Sugar:**

In a large mixing bowl, beat the butter and sugar together until light and fluffy, about 2-3 minutes. Add the oil and mix until well combined.

**Incorporate Eggs and Flavoring:**

Beat in the eggs one at a time, followed by the vanilla extract and strawberry puree. Add food coloring if using.

**Combine Dry and Wet Ingredients:**

Gradually add the dry ingredients to the wet mixture, alternating with the milk. Begin and end with the dry ingredients, mixing until just combined.

**Bake the Cakes:**

Divide the batter evenly between the prepared pans. Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean. Let the cakes cool in the pans for 10 minutes, then transfer to a cooling rack to cool completely.

**Make the Frosting:**

In a large bowl, beat the butter until creamy. Gradually add the powdered sugar, 1 cup at a time, mixing well after each addition. Add the vanilla extract, salt, and strawberry puree, beating until smooth and fluffy.

**Assemble the Cake:**

Place one cake layer on a serving plate. Spread a layer of frosting over the top. Add the second cake layer and frost the top and sides of the cake. Decorate with fresh strawberries if desired.