The National Catholic Bioethics Center (NCBC) is the leading resource organization on bioethics for most of the Bishops of the United States. The NCBC has issued several documents that are of interest to us in the wake of COVID-19 Vaccine Mandates. Federal and (some) state laws allow for exemptions in health care decisions based upon religious conviction. The NCBC lays out with clarity the right of Catholics to exercise the right to decline the vaccination based upon Catholic thought.
Here are the links:
Front Line Moral 