Combine broth, water, chicken, chicken hearts and/or gizzards, bay leaves, lime leaves and lemongrass in a large pot. Bring to a simmer over high heat, skimming the surface occasionally. Reduce heat to maintain a simmer and cook for 20 minutes. (If using chicken livers, add them during the last 5 minutes of cooking.)

Remove from heat and let stand until the chicken breasts (or thighs) are just cooked through and an instant-read thermometer inserted in the thickest part registers 165 degrees F, 5 to 10 minutes more. Transfer all the chicken parts to a clean cutting board and let cool. Shred the meat and slice the hearts, gizzards and/or livers. Set aside. Strain and reserve the cooking liquid, discarding the solids.

Combine rice and 4 cups of the reserved cooking liquid in a medium saucepan. Bring to a boil over high heat. Reduce heat to a strong simmer and cook, stirring occasionally, until the rice breaks down into porridge with a texture resembling slightly soupy oatmeal, 35 to 40 minutes. Stir in 1/2 teaspoon salt, remove from heat, cover and keep warm.

Meanwhile, combine shallots, oil, coriander, cumin, turmeric and white pepper in a food processor. Process to form a coarse paste, scraping down the sides once or twice. Transfer the mixture to a large skillet. Cook over medium-low heat, stirring frequently, until very lightly brown and barely sticking to the pan, about 5 minutes. Reduce heat to low and continue cooking, stirring frequently, for 10 minutes more.

Pour in the remaining chicken-cooking liquid and bring to a simmer over medium heat. Add coconut cream, the reserved chicken and the remaining 1/2 teaspoon salt. Simmer gently for 5 minutes. Remove from heat.

Divide the rice among 6 bowls. Top with about 1 cup of the chicken mixture, 1 tablespoon each peanuts and scallions and 1 teaspoon each kecap manis and sambal oelek.