For the cake, preheat oven to 350˚F. Spray three 8-inch*** cake pans generously with baking spray (make sure the sides of the pan are well greased).**** Cut circles of parchment paper to fit pans and place one in the bottom of each pan. Spray again, lightly.
Sift flour, baking powder, and salt together; set aside. (I use a fine strainer for sifting, just hold strainer above a clean bowl, add flour mixture and tap gently on one side to sift.)
Beat butter and sugar in the bowl of an electric mixer until light and fluffy.
Add vanilla, then eggs one at a time, beating after each addition.
Add flour mixture and milk alternately in 3 batches, beating until smooth after each addition.
Divide batter between prepared pans. Bake until golden, 25-30 minutes (a bit longer if you use 9-inch pans) and a toothpick inserted in the center comes out clean. Let cakes cool in pans on a rack for 10 minutes; then invert cakes onto a cooling rack and allow to cool completely. Slice domed tops off cakes to level them, if needed.
Place one cake layer on a plate or cake stand. Add ½ cup icing and spread to cover. Spread ⅓ cup strawberry jam over layer of icing. Add another cake layer and spread with another ½ cup icing and ⅓ cup jam. Top with final cake layer. Frost entire cake with a very thin layer of icing. This is the crumb coat. The crumbs will be trapped and will keep your final icing layer crumb free. Place cake in refrigerator for at least 15 minutes until crumb coat is dry and set/
Place a generous amount of icing on top of cake. Spread icing over top and down sides to cover completely, adding more icing as needed. Decorate icing with a swirly pattern as you proceed. Allow icing to set. Serve and enjoy the rave reviews.
For the strawberry buttercream, place butter in the bowl of a stand mixer and beat till light and fluffy, about 2 minutes.
Add powdered sugar, strawberries and half and half (or milk) and beat on lowest speed until powdered sugar is incorporated (otherwise powdered sugar will fly everywhere). Increase speed to high and beat for 5 minutes until very light and fluffy. Stop the mixer and scrape the bowl a couple times during the 5 minutes. Add vanilla bean paste (or vanilla extract) and beat for another 30 seconds or until well incorporated.
Check icing, it should be fluffy and easy to spread. Strawberries vary in juiciness and this can affect the consistency of the icing. Add a bit more milk or powdered sugar if needed to achieve desired consistency.