Preheat to 425 degrees F. Line a baking sheet with parchment paper.
Combine seasoning for chicken including salt, pepper, cumin, coriander, turmeric, and cayenne in a small bowl. Drizzle olive oil on chicken and sprinkle both sides with seasoning mix. Place chicken on prepared baking sheet and roast for 35-40 minutes or until the internal temperature reaches 165 degrees F.
Meanwhile, make the sauce. Heat 2 tablespoons olive oil in a medium saute pan over medium heat. Saute chopped shallots and garlic for 1 minute, stirring frequently. Add bruised lemongrass stalk, white miso, and yellow curry paste, and saute another minute. Add coconut milk and bring to a simmer. Reduce heat to low and continue to simmer for 5 minutes.
Season the sauce with fish sauce and brown sugar. Simmer for another 1 minute. Finish with a squeeze of lime and discard lemongrass.
Pour sauce onto serving platter and place chicken on top. Garnish with fresh cilantro and Thai basil. Serve immediately.
Notes
You can marinate the chicken overnight, if preferred.