Path based routing not available for private pages (#36548)

Co-authored-by: Laura Coursen <lecoursen@github.com>

Author: GretaP

content/pages/configuring-a-custom-domain-for-your-github-pages-site/about-custom-domains-and-github-pages.md

@@ -30,7 +30,13 @@ You can set up either or both of apex and `www` subdomain configurations for you
 
 We recommend always using a `www` subdomain, even if you also use an apex domain. When you create a new site with an apex domain, we automatically attempt to secure the `www` subdomain for use when serving your site's content, but you need to make the DNS changes to use the `www` subdomain. If you configure a `www` subdomain, we automatically attempt to secure the associated apex domain. For more information, see "[AUTOTITLE](/pages/configuring-a-custom-domain-for-your-github-pages-site/managing-a-custom-domain-for-your-github-pages-site)."
 
-After you configure a custom domain for a user or organization site, the custom domain will replace the `<user>.github.io` or `<organization>.github.io` portion of the URL for any project sites owned by the account that do not have a custom domain configured. For example, if the custom domain for your user site is `www.octocat.com`, and you have a project site with no custom domain configured that is published from a repository called `octo-project`, the {% data variables.product.prodname_pages %} site for that repository will be available at `www.octocat.com/octo-project`.
+After you configure a custom domain for a user or organization site, the custom domain will replace the `<user>.github.io` or `<organization>.github.io` portion of the URL for any project sites owned by the account that are published publicly and do not have a custom domain configured. For example, if the custom domain for your user site is `www.octocat.com`, and you have a project site with no custom domain configured that is published from a repository called `octo-project`, the {% data variables.product.prodname_pages %} site for that repository will be available at `www.octocat.com/octo-project`. 
+
+{% note %}
+
+**Note:** The URLs for project sites that are privately published are not affected by the custom domain for your user or organization site. For more information about privately published sites, see "[AUTOTITLE](/enterprise-cloud@latest/pages/getting-started-with-github-pages/changing-the-visibility-of-your-github-pages-site){% ifversion not ghec %}" in the {% data variables.product.prodname_ghe_cloud %} documentation.{% else %}."{% endif %}
+
+{% endnote %}
 For more information about each type of site and handling custom domains, see "[AUTOTITLE](/pages/getting-started-with-github-pages/about-github-pages#types-of-github-pages-sites)."
 
 ## Using a subdomain for your {% data variables.product.prodname_pages %} site