Blood work

Hello, I've been ttc for 14 months now. I'm 33 years old and have two kids 13 & 12. Never would've thought I would be having these struggles, I got pregnant with my daughter when my son was only two months old! (Wasn't exactly planned😅) Well now that we are trying for #3 it just isn't happening. 😔 So I finally went to see my obgyn and was told my insurance covers 50% of anything billed "infertility" So my question is will blood work to check hormones like testosterone, FSH, prolactin ect.. Be billed as infertility? If so does anyone know about how much that is?