Preheat oven to 225º F. Line 2 large baking sheets with parchment paper.
In the stand mixer bowl, whisk egg whites and a pinch of salt, until stiff peaks, 4 to 5 minutes on high speed.
Reduce the speed to medium and slowly add the sugar over 2 minutes.
Stop and scrape down the sides of the bowl. Increase the speed to high and whisk until the mixture is smooth and glossy and stiff peaks, 6 to 7 minutes.
Add the vanilla extract, almond extract, and vinegar to the mixer. Sift in the cocoa powder. Mix until just combined (you might have to use a spatula). Fold in the chocolate chips.
Divide the batter in half. Spread onto baking sheet, in about two 8 inch circles. You want them about 1 inch high, and evenly sized. Place the meringue into the oven and bake for 2 hours. Turn off the heat and leave it in the oven for 2 more hours. Remove from the oven and let it cool completely to room temperature before assembling.
Prepare the Whipped Cream
In the bowl for an electric mixer, whisk the heavy cream until soft peaks, about 4 to 5 minutes. Add sugar and almond extract, whisk to combine. ** You can store in the fridge until the next day if you need to, just whisk by hand for a minute to stiffen it up again.
To prepare the cake
Place on chocolate meringue onto a serving platter. Spread with about half of the whipped cream.
Top with the second meringue and spread the remaining whipped cream over the top.
Garnish with shaved chocolate or more mini chocolate chips if desired.