That's not how that works

I can assure you that very rarely will a shy/introverted person will force themselves to socialize when we're comfortable with not doing that, usually we expect people to socialize with us first in order to avoid taking that first step ourselves.

We usually keep to ourselves if left to our own devices, there's usually no reason to force yourself to socialize with others unless you really want to or have to.

The best way to socialize for introverts/shy people is to be in a place where you have something in common with what you like/what you do. At least there you can strike up a conversation with others because you all have something in common that you like, and that means less thinking of what to think on what to talk about with a stranger. Sure, it's still hard, but it's better than going in a loud place with a friend hoping you'll force yourself to socialize.

It's the fear of rejection and making mistakes that discourages shy people/introverts from socializing. You work up the courage to talk to someone in a place but that conversation is short-lived because there's not much in common you can talk about so you just clam up.

Then there's the fact that it's a loud environment, where conversations are prone to be constantly interrupted. Nothing discourages us more than being interrupted by our surroundings or other people