What kind of birth control is safe with pulmonary stenosis?

Progesterone ONLY  methods such as the IUD with hormone, implant, shot, and Progesterone Only Pills are safe. copper IUD and condoms are safe.

For combined contraceptives such as the combined oral contraceptive pill cOCPs or the birth control patch (Xulane), the birth control ring (NuvaRing elyrng) if it is MILD pulmonary Stenosis, it is safe per this paper.