Wash the meat, dab dry. Season with salt and pepper. Roast in the preheated oven (electric cooker: 200 °C/circulating air: 175 °C/gas: level 3) for 45-50 minutes.
For the pesto, roast cashew nuts in a pan without fat. Take out. Wash the limes hot, dry and grate the peel. Squeeze the juice from 1 lime. Peel and chop the garlic.
Wash the herbs, shake dry and pluck the leaves. Coarsely grate the Parmesan cheese. Finely puree the prepared pesto ingredients and oil in a mixer. Season to taste with salt and pepper.
Bring 3-4 l salted water to the boil. Cook the spaghetti for 8-9 minutes until al dente. Cut the chicken breasts along the breastbone and cut the fillets from the bone.
Remove the skin, cut into fine strips and keep warm in the oven. Use a fork to pluck the chicken meat into strips or cut it into strips with a knife.
Drain the noodles and collect 5-6 tablespoons of cooking water. Stir the lime pesto with it until smooth. Mix with spaghetti and chicken. Serve and sprinkle with crispy skin.