And yet, we usually don't talk about the incredibly high numbers of med students and practicing physicians with mental health diagnoses who are doing just fine. Which means that we reinforce this BS idea that you need perfect mental health to survive in medicine (you don't) and perpetuate the stigma that keeps anyone from admitting how common it is in the first place. And so the cycle goes on.
OP: don't ask SDN about this. Don't ask your med school friends who are caught up in the middle of it and can't see beyond "med school = stress don't do it". Don't ask admissions folks unless you want them to make that decision for you.
Talk to your psychiatrist and see what their concerns/recommendations are. And make sure that you honestly, legitimately, ask yourself what you think will be your own particular challenges in med school and residency and beyond, how you'll handle them, what your fallbacks will be when something slips (because something always does, even if you don't have an ongoing condition), and whether you are ready to handle the grind. .