Heat olive oil in a wide skillet or paella pan over medium heat.
Sauté the diced chicken and sliced chorizo until the chicken is browned and the chorizo releases its smoky oils.
Add the onion, bell pepper, and garlic to the pan, cooking until the vegetables are softened and fragrant.
Stir in the tomato puree and smoked paprika, cooking for 2 minutes to deepen the base flavors.
Add the rice, stirring for 1 minute to ensure each grain is well-coated with the aromatic oil and spices.
Pour in the broth and saffron, seasoning with salt and pepper; bring to a boil, then reduce to a simmer without stirring.
Arrange the shrimp and mussels on top of the rice after 10 minutes of simmering, then scatter the peas over the surface.
Cook for 5-8 more minutes until the liquid is fully absorbed, the shrimp are pink, and the mussels have opened.
Garnish with freshly chopped parsley and a lemon wedge before serving.