Heat the olive oil in a large pot over medium heat.
Add the ground turkey and cook until browned, breaking it into small crumbles with a wooden spoon.
Stir in the diced onion, green bell pepper, and celery, sautéing until the vegetables are tender and translucent.
Add the minced garlic, smoked paprika, oregano, thyme, cayenne, sea salt, and black pepper, stirring for 1 minute until fragrant.
Pour in the vegetable broth and add the kidney beans, black beans, and chickpeas.
Bring the mixture to a gentle boil, then reduce the heat to low and simmer for 15 minutes to allow the spices to infuse the broth.
Stir in the fresh spinach during the last 2 minutes of cooking until it is just wilted, then serve warm.