How to style embedded comments?

So, it turns out, the simplest way would be to add this to the headers of the discourse instance that show up on the embedded code:

<script>
window.document.domain = "the.domain.name.of.the.blog.com";
</script>

This would then allow javascript on the blog page to alter the css for the iFrame, b/c it gets around cross-domain restrictions.

But, I customized the Header, Footer and every section of the Admin > Customize > CSS/HTML with that bit of code, and it does show up when i look at the site itself, but when i view the source of the embedded comments, that bit of javascript is gone, hence i can’t change look and feel.

It seems to me that the customized attributes should also flow forward to whatever code gets embedded elsewhere.

Thoughts?

Thanks as always.
m