Shake first five ingredients well with ice, strain, and reshake. (This will allow the egg to create a rich, fluffy cocktail.) Strain contents into a chilled coupe and garnish one half with aromatic chocolate bitters and the other with crushed peanuts.
Combine water and sugar in a saucepan over medium heat until sugar dissolves. Using a food processor, pulverize peanuts. After the sugar-water has boiled for about 2 minutes, add the peanuts. Reduce heat to low and allow the mix to simmer for several more minutes. Remove from heat and allow mixture to sit at room temperature for 6 hours. Strain through cheesecloth, discarding all solids. Add orange flower water and vodka. Mixture will keep for up to 2 weeks in the refrigerator.