Add dairy free butter to large pot over MEDIUM heat. When pot is very hot add chicken skin side down and cook undisturbed about 5 minutes, flip and cook an additional 4-5 minutes. Remove to a rimmed plate or shallow bowl.
To the same pot over MEDIUM heat add onions, celery, and a pinch of salt. Sauté stirring occasionally until soft about 3-5 minutes.
Add spices: minced garlic, salt, parsley, thyme, black pepper, dried mustard, granulated garlic, basil, and bay leaf. Sauté stirring frequently until aromatic about 30 seconds.
To deglaze the pot, pour in several splashes of broth. As it begins to steam and bubble use a wooden spoon to loosen and scrape the browned bits from the pot. If there is much browned on bits you may need to do this 2-3x.
Return chicken thighs and accumulated juices to the pot along with carrots and bell peppers. Add remaining chicken broth and water. Stir, increase heat to MEDIUM-HIGH to bring to a boil. Cover, reduce heat to LOW to maintain a strong simmer. Simmer for 25-30 minutes until chicken is no longer pink and the internal temperature is 165℉.
Remove chicken to a plate. Increase heat to MEDIUM-HIGH add pasta and boil 5 minutes. Turn off burner and remove pot from heat.
Finish the chicken: Remove skin and bones. Dice or shred chicken and stir back into the pot. Discard the bay leaf. Enjoy!