Apple-Ginger Tishpishti (Gluten-Free Almond and Walnut Cake)

Name: Apple-Ginger Tishpishti (Gluten-Free Almond and Walnut Cake)
Prep time: 25 min
Cook time: 65 min
Total time: 90 min
Yield: 12
Ingredients: For the Syrup:; 1 cup sugar (7 ounces; 200g); 1 1/2 cups unsweetened apple juice (12 ounces; 340g); 2-inch piece ginger (2 ounces; 60g), unpeeled, cut in half lengthwise and smashed; Zest from 1 medium lemon; 1 tablespoon fresh lemon juice (1/2 ounce; 14g), from about 1 lemon; 4 tablespoons Applejack brandy (2 ounces; 60g); For the Cake:; 4 large eggs (6.8 ounces; 190g); 3/4 cup sugar (5 3/4 ounces; 160g); 1 teaspoon (4g) Diamond Crystal kosher salt; for table salt, use about half as much by volume or the same by weight; 1 cup vegetable oil (8 ounces; 220g), or any other neutral oil; 2 tablespoons freshly grated ginger (1 ounce; 30g); 2 1/2 cups almond flour (8 ounces; 230g); 1 1/2 cups finely chopped walnuts (6.2 ounces; 175g); 2 teaspoons (6g) ground cinnamon; 1/4 teaspoon freshly grated nutmeg; 2 cups grated unpeeled Fuji apple (12 ounces; 340g), from about 2 medium apples