Set a large pot on your stovetop, and set to the highest heat. Pour water (4 cup), and cover to bring to a boil.
Once the water has started to boil, add the corn puree and carrots into the pot. Stir the newly added ingredients.
When it comes back to a boil, you'll slowly and individually add your cornstarch slurry, chicken, and egg to the soup.
My dad is very deliberate about this step, making sure that each ingredient is added slowly, with constant stirring.
Slowly add the cornstarch mix, stirring constantly.
Slowly add the chicken, stirring constantly. Done properly, none of the chicken pieces should be allowed to clump up.
Wait for the soup to boil again to give the chicken some time to cook.
Once boiling, slowly add the egg in 2-3 batches, stirring constantly. Done properly, the egg should "flower", forming soft little sinews and strands within the soup.
Continue stirring for a few seconds after all of the ingredients have been added.