Session storage and Indexed DB disappeared from regular Safari after exiting from SEB on macOS

[vlutsyuk-amplify]

Hello,

I've encountered an issue where the Session storage is cleared and the Indexed DB disappears from Storage in Safari Version 17.1 (18616.2.9.11.9, 18616) on macOS Ventura 13.6.1 (22G313).

The flow is as follows: from a regular browser (Safari), the user clicks on a special URL that responds with a *.seb file, and SEB automatically starts. When the assessment is finished, the user either presses the SEB quit button and types the "quit password", or programmatically quits through the quit URL. However, it appears that the Session storage, Local storage, and Cookies are all empty in Safari, where the SEB was started.

Could somebody please help to figure out if it's some configuration issue or bug in the SEB?