I feel like they will put the blame on me and speak bad about me if I would quit and apply try to work for another YC company. The overall experience has been really awful. They hire and fire every week. It's so unstructured and they blame it on the new recruits.
What can I do?
I am not part of nor associated to YC but I wouldn't worry about this, good YC founders know there are bad YC founders (same for techstars etc) -- FWIW I have worked with YC founders. Being in the "club" doesn't mean you are necessarily "good", just means you passed a bar that YC thought they could make money on that served a need. That isn't a dig at YC or any other accelerator, it is just how it works.
If they speak badly of you it is more about them than you, and it might work once but if they going there it will backfire on them. Plus there are 100's of other startups outside of the YC ecosystem, look at those if you are worried.
I know it can be scary especially if they lie about you behind your back. However, people gossip unfoundedly all the time, and there isn't much you can do about it except continue to be a good person. As other commenters mentioned, the tech world is large and the vast majority of people you talk to will never hear or care about the gossip.
Of course, you might have to ask yourself if you'd ever be OK working for an auto-parts manufacturer in St. Louis, Missouri, instead of a super-sexy "web3" SV-wannabe-unicorn "hot startup"... But seriously though, there's more to the world than that little bubble.
I ended up leaving the company after a massive shouting match with the CEO and nearly a first fight.
No one has ever heard of this story and it has never followed me anywhere.
You're expendable. That relationship in the current market goes both ways.
Hope you find what you're looking for in your next role! Startups vary greatly.