Most states have an established process for creating a replacement as I understand.
It’s most often used when a birth occurs outside of a “normal” hospital environment such as at home or on the way to the hospital, etc. Used to happen a lot more when births were midwifed in the home.
Sometimes required for when records are lost in fires, floods, etc.
You may want to check with the local county clerk to see if they can assist with the process or point in the correct direction.
As I understand it, the hospital where he was born closed.
My father had to jump through the hoop when he retired. The courthouse had burned and with it his birth certificate. He had to use his school registration and mother’s statement as the proof of birth. Also Army records were submitted. He was born in 1910 and retired in the early 70’s. My daughter had a child born in Turkey in 2012. She was given a Certificate of Live birth by the American Consolate. She had to get a Turkish birth certificate when moving back to the states, but doesn’t give her dual citizenship.