Does anyone have experience with moving to another state while a U.S. passport application is in process? Will they forward the new passport? Is there a way to change the application, or better not to touch it?

History:
March 5, 2021 -- new baby born
March 17, 2021 -- applied for new passport at post office, standard processing
April 1, 2021 -- status shows "In Process"
June, 2021 -- cancelled international trip (no passport for baby, plus never-ending lockdowns...)
August 1, 2021 -- status still shows "In Process"
August 20, 2021 -- planning to move to another state