I think everyone will go through this during their first job (anxiety). At least, those of us with SA will experience something similar. I'm a very internal person.
I didn't have to chat or mingle with other teams, but I also didn't have much of a presence in my own team—and we were only 4. Suffice to say I didn't land a great impression with anyone.
I was very (very) fortunate that my manager was the most ideal person I could ever have for a first manager (e.g. understanding, patient). Granted it was only an internship, it was nice just being able to do some small stuff with real people. In the end, the dream ended and I didn't really have the chops nor the warrant to continue with the company. I feel like I failed. The same thoughts you have rippled through me every day during my internship and every day felt like slow-mo into insanity.
Fast forward to today, I am in my first full-time job and I'm doing better but not enough to feel like I'm making a contribution much less learning/growing on a personal/professional level.
I know it all feels new and new for us is usually daunting, but it can get better. If it's one thing I can share (that usually works), it's that smiling goes a long way.
It sounds weird and sure, it won't solve all your problems but I've made some progress with it.
May your future endeavors be ever fruitful.