01 - In a large, heavy-bottomed pot, combine the chopped apples, lemon juice, apple cider, and water. Bring to a simmer over medium heat and cook, stirring occasionally, until the apples are tender, about 10 minutes.
02 - Use a potato masher or immersion blender to gently mash the cooked apples, leaving some small chunks to retain texture.
03 - Add the granulated sugar, light brown sugar, ground cinnamon, nutmeg, allspice, and salt. Stir well to dissolve the sugars completely.
04 - Stir in the butter cubes. Continue to cook on medium, stirring frequently and scraping the bottom, until the mixture thickens to a golden caramel color, about 20 to 25 minutes. Avoid scorching by maintaining gentle stirring.
05 - Increase heat and bring the mixture to a full, rolling boil. Add liquid pectin, stirring well, and maintain a hard boil for 1 to 2 minutes. Remove from heat promptly.
06 - Skim off foam if present. Ladle the hot jam into sterilized canning jars, ensuring 1/4-inch headspace. Wipe jar rims, fit lids, and process in a boiling water bath for 10 minutes, adjusting time for altitude if necessary.
07 - Allow jars to cool undisturbed. Store in a cool, dark environment. Refrigerate after opening.