01 - In a large, heavy-bottomed pot, combine the chopped apples, lemon juice, apple cider, and water. Simmer over medium heat for about 10 minutes, stirring occasionally until apples are tender.
02 - Using a potato masher or immersion blender, gently mash the apples, retaining some smaller chunks for texture.
03 - Incorporate the granulated sugar, brown sugar, cinnamon, nutmeg, allspice, and salt. Stir until the sugars are entirely dissolved.
04 - Stir in the cubed butter. Continue to cook on medium heat, stirring frequently, for 20 to 25 minutes until the mixture thickens and develops a golden caramel color. Scrape the bottom consistently to prevent scorching.
05 - Increase the heat and bring the mixture to a boil. Add the liquid pectin and stir thoroughly. Boil vigorously for 1 to 2 minutes, then remove from heat.
06 - Skim off any foam if needed. Carefully ladle the hot jam into sterilized jars, leaving a 1/4-inch headspace. Wipe jar rims clean, secure lids, and process in a boiling water bath for 10 minutes, adjusting for altitude as necessary.
07 - Allow the jars to cool completely. Store in a cool, dark environment, and refrigerate after opening.