confusion about how to pursue a career as a psychiatrist

hi guys! from my understanding, after i’ve completed my A levels , I’ll have to do a bachelors in psychology before applying to medical school, doing residency and then starting life as a psychiatrist! what I am confused about is medical school. Do psych students have separate areas where they deal with medical things related to their jobs? or do they work alongside all other medical students. In fact, do we all apply for the same medical schools or do psych students have different medical schools they apply to? I know im probably overthinking things but I really like to have things planned out and I just wanted some real human answers. Thanks.