In a medium mixing bowl, sift the cake flour, baking powder, and salt into it.
In the bowl of the standing mixer, fit on the paddle attachment. Whip the softened butter, oil, and sugar until pale and fluffy.
One at a time, mix in the eggs. Add the vanilla and almond extracts after the last egg is added.
On low speed, add ⅓ of the flour mixture at a time, alternating with ½ of the milk and cream until combined after each addition. Add the sour cream and mix for a minute or two until blended. Scrape down the sides and bottom of the mixing bowl and gently fold the batter several times.
Divide the batter evenly among the 3 prepared baking pans.
Bake in the preheated oven for 20-25 minutes on the same rack. Check to see that a toothpick comes out clean from the center of the cake. * See notes below.
Cool in the pan on the cooling rack for 5 minutes. Run a knife around the edges to make sure that they are loosened. Flip the pans over and tap the bottom of the pan to release the cake layers. Remove the parchment paper and place a cake layer on each of the 3 cooling racks. Cool completely for 30 minutes.
Once cooled, frost each cake layer with the mascarpone cream. Lay a generous amount of cut-up strawberries on top of each layer of the mascarpone cream.
Insert 3 wooden skewers (broken off to match the height of the cake) evenly spaced to prevent the cake from tipping over.