Hebrew names

I’ll be having my first child next month, and I’m wondering whether to include their Hebrew name on the birth certificate? As far as I understand (and from personal experience), one’s Hebrew name is sanctioned in religious/spiritual communities, but is not traditionally on the birth certificate unless their Hebrew name also doubles as their given name. I’m a little confused about this. If I include the Hebrew name on the birth certificate, will it then be considered part of the baby’s middle name? I have both a first and middle name already, both are names after relatives, and the Hebrew name is something totally different. Do I include it as the middle? Thanks!!