Green card for the baby born outside USA

[NewToGC]

Baby born in India while I485 was in progress, mother left to India due to family situations, now green card approved for both parents and received physical card.

I am (father) planning to visit India and bring child with mother together, child is 5 months old now, mother is out of US appx 9 months (within 1 year range).

Is baby automatically get green card while entering to US along with Mother? if not what is the process to bring baby to US?

Thanks