Group Cache Configuration

Hey Total Cache team! Hopefully, this email finds you well.
We have encountered a problem, or rather – a roadblock when we try to configure the group cache on our website (campus.gov.il).
Whenever we use cookie-cache for logged-in users, the page updates correctly.
Whenever we log out and delete the cookie, as a part of the “log-out” process of our website, we receive the regular cache that isn’t a part of the log-in group.

Although, when we are returned to the “normal” state, as in, logging out -> reconnecting (and supposedly, adding the cookie of a logged-in user) we will receive a cache befitting a logged-out user rather than a logged-in user, yet the cookie is still added correctly.

We have only recently purchased your plugin, and struggle a bit with such configurations. Previously, my DevOps employee has contacted you but we are yet to receive some kind of response from your team (it has been way over a week or two now).

We would really appreciate your help with this matter, as it means a lot to us and for the sake of the continued use of your plugin.
Looking forward to your response and hoping you have a great rest of the week!