Put the apples into a large heavy pot, add the water, cider, and sugar, and bring to a boll over high heat. Continue to boil, stirring occasionally, until the apples are completely broken down, 30 to 40 minutes. Remove from the heat.
Puree the apples in batches in a food processor or blender. Add the cinnamon, cloves, cardamom, and allspice and stir to combine. Pour the puree into a