I do something stupid every day too. luckily my coworkers make fun of me behind my back and not to my face, as of course that would make it worse. that would definitely hurt my feelings. maybe your job or coworkers are just not bringing out the best in you, possibly they are bringing out the worst. I mean they are not to bright themselves if they think saying things like that are going to make it better.

Your co-workers behavior is a reflection on them, not you. I'm sorry you're dealing with such cruel people. I know words can hurt, but I'm proud of you for showing up ever day, and doing the best you can. You clearly have a strong work ethic and lots of courage. That's something to be proud of.

I'm not sure if some breathing exercise could help with your anxiety, or maybe even talking to a counselor about your nervousness, but please don't internalize what your co-workers are saying. You're not the one at fault here.

I've never thought of myself as having anxiety but I also get extremely nervous at work. There are many customers and some co-workers that make me extremely uncomfortable and I can't focus and do stupid things. I've learned to tune people out and slow down if I need to. I tend to work too fast. I've always got too much on my mind. Sometimes I just want to scream if someone tries to talk to me. I know it's prob not healthy to avoid people and not make eye contact, but that's the best way I've found to focus on my job. Some ppl just talk too much and it is distracting.
Just because ppl think you act dumb doesn't mean you are. My hs science teacher used to say "it's better to keep your mouth shut and have ppl think you're stupid than to open your mouth and prove it."
So I try to follow that. Most people don't care about anything I have to say anyway. It either goes over their heads, they look bored, or they laugh when I didn't say anything funny. If this happens to you, maybe you are actually the smart one at work. They just think you're dumb because they don't understand you.

Anxiety I feel is one of the hardest symptoms of depression and mental health to bring under control for the fact that it can be triggered and made worse by others, your co-workers are beyond rude and insensitive and as someone previously stated that is a reflection on them not you,that is why as people(friends,family,co-workers etc) we have to be mindful of what we say and how we treat others because we never know what someone else is feeling or going through,and by them saying that cruel comment which not only not called for but most likely un-true all it did was heighten and worsen how you were already feeling about yourself,im sorry that happened to you and that you felt that way you didnt deserve that and i know its hard but in those moments positive self talk helps even if its one positive thing you can pick out about and remind yourself of ,wish i could give you a hug and wish i could have told off your co-workers,your not alone

Sounds like your coworkers are bullies. Everyplace that I have ever worked has had their fair share of these. Seems like it's a vicious cycle: make a mistake, get called a name, get anxious, make another mistake, etc...etc....
Are you able to just tell the bully to back off? Sometimes that works
wonders and they'll move on to someone else.