Session Cookie is resetted in normal browsing.

I browse a site where I'm authenticated with the session cookie.

When I use the private browsing or when I disable cache in developer pane (network), all is fine.

When I use normal browsing and I go to a page I've already seen, the session cookie is reset.

It only happens in Safari since 24h (Mac OS Ventura 13.3 update). No trouble with Chrome nor Firefox.

I'm the author of web site and I have absolutely made no change to it.

As you can see in the screen captures, two different resources are loaded with two different cookies, but it happens only in normal browsing. Two different resources are always loaded with same cookie in private mode or when I disable cache.

The session cookie is __As-de-Pique

All is fine in Safari on my iPad MR7J2NF/A iPad OS 16.3.1. The site works as expected...