Option 1: provide a photocopy of a valid NC license/ID with the marker as you would like it shown on the corrected birth certificate *OR* provide a photocopy of a valid federal passport with the marker as you would like it shown on the corrected birth certificate.
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Or option 3: proof of gender reassignment surgery.
The form can be found here with instructions on how to submit it: https://vitalrecords.nc.gov/documents/NCOVR-BirthModificationsApplicationFinal-07072022v6.pdf
If you’re doing option 1, you can use the same ID for proof of identity, but the marker must match. If you’re not doing option 1 or submitting different proof of gender and proof of identity documents, they don’t have to match.