One of these statements is a lie:

I live in America

I have red hair

I like bluebirds

Do you think it is good and just and fair to ban someone for one of these falsehoods?

Depends what your intentions are. If I want a authentic community, I would not want people to participate who lie where they live.

Otherwise there is the concept of making a prank which is fine by me.

But intentionally spreading lies for political propaganda or scam is very much a reason to ban someone like this for me.