Preheat oven to 375'F if making pie crust crackers.
In a large 4-6 quart pot over medium-high heat saute carrots, celery, and onions in oil and butter. Saute for about 5 minutes until onions began turning translucent (see-through).
Add flour and spices. Stir until all flour has been absorbed by the oil and moisture from the veggies. (1-2 minutes). This will create a thick paste.
Add broth and continue to stir for 1-2 minutes until the mixture begins to simmer. The broth will begin to thicken. Add peas and chicken. Lower heat to a simmer (low heat). Simmer with a lid on for 5-10 minutes.
If making pie crust crackers, make them while the soup is simmering. Roll pie crust out on a lightly floured surface. Poke the dough with a fork then baste with butter. Cut into desired pieces. Bake at 375'F for 10-12 minutes or until crackers are golden brown and crisp.
Once the soup has simmered, carefully remove the lid then add milk, half & Half, or cream. Stir.
Serve with pie crust crackers, if desired.