Bring a large pot of water to a rolling boil. Add 1 teaspoon kosher salt per 400 grams/14 ounces noodles. Cook noodles until just tender, following package instructions. Drain noodles thoroughly without rinsing and set aside.
Meanwhile, prepare the caramel in a wide, heavy-bottomed saucepan. Combine the oil and sugar over medium-low heat. Stir occasionally and carefully cook until the sugar melts and turns a deep amber color, forming a smooth caramel. Avoid burning by adjusting heat as needed.
Immediately add the drained noodles to the caramel and stir with a wooden spoon or silicone spatula until evenly coated. Transfer the caramel-coated noodles to a large mixing bowl.
In a separate bowl, whisk together the eggs, sugar, finely ground black pepper, coarsely ground black pepper, and cinnamon until smooth and well combined.
Pour the custard mixture over the caramel-coated noodles and stir thoroughly to combine.
Cut parchment paper to fit the bottom of a 9-inch/23 cm medium aluminum or kubaneh pot. Lightly oil the base of the pot, place the parchment paper inside, then drizzle ⅓ cup/80 ml oil over the paper.
Pour the noodle and custard mixture into the prepared pot, smoothing the top. Cover with a tight-fitting lid and bake at 250–265°F (120–130°C) for 7 hours.
Allow the kugel to cool completely in the pot before unmolding.