There are different ways to redirect a root URL to a subdirectory, depending on the web server and the tools available. Here are a few common approaches:

Using an .htaccess file (for Apache web server):
Create an .htaccess file in the root directory of your web server (if it doesn't exist already).
Add the following lines to the file:
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RewriteEngine On
RewriteRule ^$ /example/test/ [L]
Save the file and upload it to the web server.
This will redirect any request to the root URL to the /example/test/ subdirectory.

Using a configuration file (for Nginx web server):
Open the Nginx configuration file (usually located at /etc/nginx/nginx.conf or /etc/nginx/sites-available/default).
Add the following lines inside the server block:
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location / {
  rewrite ^/$ /example/test/ permanent;
}
Save the file and restart the Nginx service.
This will redirect any request to the root URL to the /example/test/ subdirectory.

Using a plugin or extension (for content management systems):
If you're using a content management system (CMS) such as WordPress or Joomla, there may be plugins or extensions available to handle URL redirection.
Check the documentation or support forums for your CMS to find a suitable plugin or extension.
Install and activate the plugin or extension, and follow its instructions to set up the redirection.
Note: In all cases, make sure to test the redirection thoroughly to ensure it's working as intended.

yes you can add the domain

Yes, you can add a domain.