01 - In a large, heavy-bottomed pot, combine chopped apples, lemon juice, apple cider, and water. Bring mixture to a simmer over medium heat. Cook for 10 minutes, stirring occasionally, until apples are tender.
02 - Slightly mash the cooked apples using a potato masher or immersion blender, retaining some small pieces for enhanced texture.
03 - Add granulated sugar, brown sugar, cinnamon, nutmeg, allspice, and salt to the pot. Stir thoroughly until sugars dissolve completely.
04 - Introduce the butter cubes. Cook on medium heat, stirring frequently and gently scraping the bottom to prevent scorching, until the mixture thickens and takes on a golden caramel color, approximately 20 to 25 minutes.
05 - Increase the heat to bring the mixture to a full boil. Add liquid pectin, stir well, and boil vigorously for 1 to 2 minutes. Remove pot from heat.
06 - Skim off any foam if present. Ladle hot jam into sterilized jars, leaving 1/4-inch headspace. Wipe jar rims, secure lids, and process in a boiling water bath for 10 minutes (adjust for altitude if necessary).
07 - Allow sealed jars to cool completely on a towel-lined surface. Store in a cool, dark place. Refrigerate jars after opening.