As others have said, what you posted sounds very consistent with depression. You're feeling anhedonic and activities and subjects that used to interest you don't anymore. You probably went into a healthcare field in part because you care about people, and you're finding it difficult to care about patients' experiences and pain. Every decision in and out of work feels effortful. You're feeling down and just going through the motions. You're getting stuck in negative thought patterns that are telling you that you aren't cut out for medicine, it's inevitable that you will make blame-worthy mistakes, and you will always hate this career even once you're done with training. And it's not just burnout, even after time off everything is just as overwhelming.
It's important to get some mental health help 1) Because you are a thoughtful and driven person who has been pushed to your breaking point and you deserve to feel better, even if it's hard for that to resonate right now. And 2) Because there is no way to know how much of your feelings about medicine are how you actually feel vs. how "you on depression" feels until your current headspace changes. Even though you're really struggling right now, it stands out to me that one of your major reasons for needing a change is because you care about your patients enough to know that they deserve a clinician who is healthy and able to empathize with them. And there's no reason that can't be you with some help. You've interpreted the recent lack care for patients as evidence that there's something wrong with you that makes you a bad fit for medicine rather than as a symptom, but this is clearly new and doesn't fit with your values.
I agree with others' suggestions that a leave of absence would allow you to get the mental health help you need and get some distance from work. And if you're planning to quit anyway, there's absolutely no harm in starting with a leave of absence to give yourself the chance for things to get better. And in the long run, the question about whether this is the right career for you is valid, but after all the work you've put in to get to this point, you owe yourself the opportunity to consider how you really feel about medicine once you can separate your mood-based outlook from your situation.
But please take care of yourself, the holidays can be tough.
