Prescription question

I am 24(F), 135 pounds, I’m on no other medications, non smoker, and I was just prescribed promethazine DM for a severe cough I have and I’m honestly so disappointed cause I would’ve much preferred to be prescribed promethazine with codeine. I’ve had both and I just prefer promethazine with codeine. I’m not abusing the drug, I actually just want it for what it’s meant for. But apparently doctors just don’t prescribe promethazine with codeine anymore? Is it discontinued or just really restricted? I honestly want to just ask my doctor for it but I’m sure that’s a red flag so is it possible to say something specific to the doctor that would make them re prescribe me what I prefer without asking for it directly?