The only URL-specific setting in Admin Tools is in .htaccess Maker. As long as you have removed the .htaccess file from your site's root before the change the problem is unrelated to Admin Tools. Please ask SiteGround for cPanel support.
However, there is a simpler, faster and far more reliable way to do what you are trying to do.
You can use our free of charge Akeeba Backup Core to backup your site and restore it to the other location. There's a reason we have several dozen millions of downloads for Akeeba Backup Core: it works reliably for moving your site. In fact the original reason it was written was to help me move sites fast between hosts or between locations in the same host. Backing up is just a sub-case of moving a site where the source and the target are the same.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!