Preheat the oven to 350℉ (180℃) and line muffin pans with muffin papers. You'll end up with about 12-14 cupcakes total.
In a liquid measuring cup, whisk together the milk, ¼ cup reduced puree (save the rest for the frosting), vanilla extract and optional food coloring (I used about 2 drops of gel food coloring for the photos). You can use a hand-held emersion blender to get rid of any lumps of puree. If there are still some lumps - that's ok.
In a medium bowl, sift together the cake flour, baking powder, baking soda and salt. Whisk together and set aside.
In a large bowl beat the butter and sugar until fluffy (about 3 minutes).
Beat the egg whites into the butter mixture until smooth.
Beat about ⅓ of the flour mixture into the butter mixture, alternating with about ½ of the liquid ingredients. Repeat the process, until of the dry ingredients and wet ingredients have been incorporated. Turn off the mixer and scrape down the sides and bottom of the bowl after each addition. I recommend mixing in the liquid ingredients by hand with a wire whisk to avoid overmixing.
Spoon the batter into the prepared muffin pan, filling each muffin paper about ⅔ to ¾ full. You should end up with about 12-14 cupcakes in total.
Bake in the preheated oven for 20-25 minutes, or until the tops are set and an inserted toothpick comes out clean or with a few moist crumbs.
Cool in the pan for about 10 minutes, before carefully transferring to a wire rack to continue cooling.