Press the Saute button on the Instant Pot and adjust to High.
When the pot reads HOT, add a tablespoon of oil/butter. Add the onion, sauté until slightly translucent. Add garlic, carrots, and celery. Mix and Sauté the veggies for just a couple minutes.
Add the chicken, chicken broth, and 3/4 of the fresh parsley.
In a small bowl, mix together the basil, oregano, and tarragon. Sprinkle half of the herb mixture into the Instant Pot, along with the bay leaf. Reserve the other half.
Press the CANCEL/OFF button. Place the lid on the Instant Pot, turn the knob to SEALING, and cook on High Pressure for 3 minutes, if your chicken is fresh and cut into bite-sized pieces. 10 minutes if your chicken is a whole breast. (Fresh or frozen, the time is the same.)
Make your noodles while the soup is cooking (see instructions below.)
When the soup has finished pressure cooking (the display will read L0:00), carefully release the pressure in short bursts by rocking the sealing knob from the sealing to venting position multiple times. The pressure takes about 5 minutes to release.
Remove the lid and set the pot to High Saute again.
If your chicken breasts were whole, take the chicken out onto a cutting board and cut into chunks or shred (your preference), and return to the pot.
Add the remaining herb mixture, Better than Bouillon, and the remaining fresh parsley.
Toss the noodles with additional flour and to loosen them up before adding to the soup.
When the soup comes back up to a boil, sprinkle in the noodles. Cook until the noodles are plump and float to the top, about 3 minutes. If you're using dry noodles, cook them separately and add them at this point. If you're using fresh/frozen egg noodles, add them directly to the soup to boil.
Turn off the Instant Pot and stir in heavy cream right before serving and enjoy!