Safari on Desktops or Laptops
In your Safari privacy settings, you'll need to disable "Prevent cross-site tracking". Make sure the option is unchecked in your Privacy preferences menu. If enabled, this option will prevent you from logging in successfully, and you will see an error message instead.
Safari on Mobile
Likewise, in order to successfully launch from LMS on the mobile Safari browser, you need to update your Privacy & Security Settings for Safari. Go to Settings > Safari, then scroll down to Privacy & Security and toggle it off "Prevent Cross-Site Tracking".