This answer is written not as a parent, but as a former child in a very similar position to yours.
Sorry this is in the abuse tag, I know it's not abuse, but I couldn't find anything.
Emotional abuse is still abuse. On top of that, you mention that they try to hit you, which is physical abuse.
It's very hard as an outsider to step inbetween a parent and their child without the parent's consent. Even though your parents are in fact in need of such intervention, there are also cases where the outsider is the ill-meaning party and the parent is correctly protective, so in cases where the outsider and parent conflict, the parent wins by default.
Having come from a somewhat similar household, I am quite aware about what your parents are doing wrong and what the impact of it is on you, notably in the long term. You already know that what they're doing is not correct, because you made the effort of listing these problems in your question.
The other answer pointing out that you can find a counselor or mediator between your parents and you is correct - your parents are more likely to listen to a trusted source than the child they clearly don't think is capable of independent actions.
However, as much as I know how painful this realization might be, I do think that you need to be prepared for the possibility that your parents might be too headstrong for any outside actor to either reconsider their parenting approach or force them to change it.
I've started to fight back, saying I need space and privacy. Every single time, they shut me down. They then either yell and try to slap me (but fail since I either block them and run away or just run away.)
No matter what happens, the most important thing you have to do is retain your sense of normal. Your parents are not treating you like you're a normal 13-year-old. That doesn't mean they don't love you (in their own way), but they have starkly different opinions on parenting.
If all else fails, keep a connection to the outside world. Whether it's a friend, family member who doesn't agree with your parents, counselor, ... someone. Even if this person isn't able to take action against your parents, being able to talk about what you're going through and having them confirm that it is not the way things should be, is going to be massively beneficial for your mental health and self-image.
I'm mentioning this because around age 14, I mentally caved from the abuse and started believing my father's rhetoric that I was the problem and the cause of all of our family's issues. This eventually led to me undermining my academic track, quitting school, and severing connections with outside people who were actually trying to help me, but I believed my father that these people were trying to do the wrong thing. I let him isolate me from the world, and I lost my sense of what was reasonable behavior.
In the years prior to that, unbeknownst to me, my mother had gone through a similar experience, effectively yielding to a controlling spouse and accepting it as the new normal. By the time I was old enough to know that what was happening was wrong (around your age), my mother had started parroting my father, and it made me feel that if two people both tell me the same thing, they're probably right.
It took me until age 25 to realize that what I considered normal very much wasn't. I ended up completely cutting ties with my father, and he is effectively dead to me. To this day, my mother still struggles with trying to make her "new normal" work, and it has taken a massive toll on her mental health. Without going into too much detail, she has been in and out of long term psychiatric care for the better part of the last decade. This is not meant to scare you, but I want you to understand how deeply these problematic experiences can root themselves in your mental health, when you lose your sense of how wrong these experiences are.
I'm not trying to argue that things will inevitably be bad. My father is stubborn to a fault to this day, but it's perfectly possible that your parents can be swayed, or are genuinely mistaken and open to improving themselves. Everyone is different. No matter what their initial opinion is, every person has a limit that they will reach which will cause them to genuinely reconsider their opinion. It's possible that your parents are simply not aware of how they're treating you when looking at it from your end.
Do seek out help where you can. You can't tackle this alone, since your parents are specifically ignoring your independence as a young adult and they're not going to acknowledge that you might know something better than them. Before anything else, find trusted people that you can talk to, even if they don't take action against your parents.
Isolation is the worst enemy for you. Combat it by making outside connections and relating to the outside world. It might not change how your parents treat you, but it will make sure that you don't lose your way.
No matter what happens, never forget that what your parents are doing is not how things should be. The world is much bigger than your household, even though your parents can currently restrict you so that their household is your whole world. There is a place for you in the world, even if that place is not in your parents' household. And when you become an adult, you can go out and find/create that place, and then you can decide whether your parents belong in your world.
Things will get better. If not sooner, then when you become an adult. What matters right now is that you don't lose yourself, so that you can be yourself when you finally gain the freedom you deserve.
