The problem has to do with HTTP authentication. There should be an .htaccess file and an .htpasswd file location in the directory ~/logs/domain/http/html
Normally the DreamHost Web Panel has a form that lets you manage the users for that directory.
WordPress comes with mod_rewrite rules that at first interfere with the alias DreamHost configures to map /stats to ~/logs/domain/http/html unless you modify them to exclude the /stats. And so that also means you can use rewrite rules or redirect directives to prevent access to the stats directory as well.
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