We got our passports back with visa and COPR. Even though we had sent a cover letter requesting on next steps to add new baby when born, they haven't responded to that bit. Have mailed them requesting the same. Haven't got a reply yet. Will keep you posted if I hear anything. It would be nice if you could update me as well if you hear anything.I am in same exact situation.. my COPR is also valid till June 2018 and also received my passport and baby due date is on April 3rd 2018 . Kindly please let me know what have you done for this that would be very helpful for me as well .
Thanks