I'm going to remove our friend from our groupchat
Is there a reason behind that?
He is very quiet and he never participates.
There's no harm in keeping your friend in a group chat even though he doesn't say anything. He'll be hurt if you exclude him.
I was just trying to make a point.
I don't think you'd be making a very good point by kicking him out of the chat. It would just be mean. Maybe you should try to ask him something specific, to get him to participate.