Am I at fault here?

I’m an introverted 22 year old girl who has social anxiety and it’s really hard for me to talk to new people or in groups. On the other hand, my friend is someone who extroverted and loves talking in groups so she doesn’t get it when I tend to quiet down when we’re in a group. She’s invited me to hang out with one of her friends a couple times(who is also an extrovert) and every time I hang with the two of them, I get overwhelmed with anxiety because they’re both pretty loud/extroverted people. Because of this, I usually isolate myself by going on my phone or not talking, and my friend would get upset at me for not talking. She’ll always ask me the same things like “you’re completely fine when it’s just the two of us hanging out so why do you suddenly quiet down when another person hangs out with us?” I’ve told her multiple times that it’s hard for me to talk to new people/in groups (even in a trio) but she’ll tell me things like “can’t you just work through it lol” or she’s told me that I should take Tylenol to calm my anxiety. But whenever she tells me that, it seems like she isn’t really being there for me as a friend and just wants me to take Tylenol for my anxiety as an “easy way out.” I just don’t understand why she cannot understand my point of view because it seems like from her side, I tend to quiet down in group settings because I simply just don’t care even though the fact is that I’m just extremely uncomfortable in social settings and it’s hard for me to even initiate a convo.