Postpartum Leave

Hello all- am having a baby and was sad to see Amazon mixing FMLA and Amazon paid leave for 12 weeks. I thought they offered 4 weeks before the baby is born and 12 weeks after and without FMLA?

Also, if I want to take additional leave - is the only option in New York Short Term Disability.

I was really hoping to bond with my child for a bit and need help to figure things out.