What options do I have for helping my wife enlist again after getting a medical discharge during basic?

So as an NCO, if you were my Soldier I would advise you to take this to the table with your wife first. The reason for that is you are already enlisted and you now have a newborn, what good would it do for her to enlist as well? I've seen too often where a married couple who were both enlisted with a newborn struggle because they both worked all the time.
In my opinion as an NCO, I would highly recommend you two sit and discuss it, think about it long and hard because it WILL have an impact.

To answer your question though, you can always talk to another recruiter and get another answer.

Only recruiters know the current answers, you can always as a different recruiter

Did she tell the recruiter she was married? She probably need a dependent waiver? Or just a waiver since it was a medical discharge but it will get approved cause it was only for her being pregnant. Go back to the army 4-6 months after she give birth so the recruiter can start the process. It’s nothing to worry about!