CF and others posted that the dotted lines mean you are allowed to change lanes. Someone else (can't find the post) said it's the law.
Not only is that correct, you are also allowed to pass. Federal highway markings.
United States Pavement Markings - FHWA MUTCD
So while the brochure says don't change lanes and everybody says never get beside another vehicle, there's no law against either in sections of the roundabout where there's a broken line, which is 50-60% or so of the time in most roundabouts.
I'll be dipped.