In order to access Typo3 via the servers URL you should alter your /typo3conf/localconf.php in the following way:
$TYPO3_CONF_VARS['SYS']['sitename'] = 'serverip/~user'
where "serverip" in the line above stands for the hostname/IP of the server, where your account resides and "user" stands for your cPanel username.
This could be done from your cPanel -> File Manager.
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