In a large pot, melt butter and add oil. Add in onion, carrots and celery and cook until softened, about 4-5 minutes. Add in the flour and cook for additional minute. Slowly add in chicken broth (I prefer my pot pies on the thicker side, so I start with two cups…if you like a thinner pie, add in more liquid), stirring as you add. Add in potato, chicken, peas and seasonings and adjust chicken broth as needed (it will thicken up once the chicken and potatoes are added). Bring to a simmer and simmer for five minutes.