In a food processor, combine garlic and yolks and blend until smooth and yolks are pale and creamy. With food processor running, very slowly drizzle in oil. You want an emulsification to form, so go slowly; once about 1/4 of the oil had been added, you can pour the rest in a steady stream. Add lemon juice and blend briefly. Season with kosher salt and freshly ground black pepper.
To make flavoured aioli, divide aioli among three bowls and fold in flavorings.
For the flavoured aioli:
In a medium saucepan, reduce vinegars until syrup consistency is achieved. Fold 1/4 cup syrup into 1 cup aioli.