Bring a small pot of water to a boil, gently lower the egg into the water, and simmer for 6.5 minutes. Immediately transfer to an ice bath, peel, and set aside.
Slice the chicken breast into bite-sized pieces and season both the chicken and shrimp with half of the sea salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat. Add the chicken and sear until golden and cooked through, about 5 minutes. Remove from the pan.
In the same skillet, add the shrimp and cook for 2 minutes per side until pink and opaque. Remove and set aside with the chicken.
Lower the heat to medium and add the ghee to the skillet. Stir in the minced garlic and red pepper flakes, sautéing for 1 minute until fragrant.
Whisk in the lemon juice and lemon zest, scraping up any browned bits from the bottom of the pan.
Add the zucchini noodles to the skillet and toss for 2 minutes until they are just tender but still have a slight crunch.
Return the chicken and shrimp to the pan, tossing everything together to coat in the lemon-garlic sauce.
Plate the scampi, garnish with fresh parsley, and top with the halved soft-boiled egg. Season with the remaining salt and pepper.