Authentification hassio_supervisor <-> hass

So it seems I did the setup sequence in some errnous way. However Hass and supervisor won’t talk to each other.
Is there a way to re-wire them? where do they share their credentials?
In the log (journalctl -xb) one can see both of them complaining about the failing connection attempts:

Mar 08 13:41:05 qube hass[1397]: 2024-03-08 13:41:05.974 WARNING (MainThread) [homeassistant.components.http.ban] Login attempt or request with invalid authentication from ( Requested URL: '/auth/token'. (HomeAssistantSupervisor/2024.02.1 aiohttp/3.9.3 Python/3.12)
Mar 08 13:41:05 qube hassio_supervisor[1422]: 24-03-08 13:41:05 ERROR (MainThread) [supervisor.homeassistant.api] Can't update Home Assistant access token!

How to make the both talk to each other? generate an auth-token in hass in the webinterface, and then how/where to give it to the supervisor?

Went by stopping the systemd-launched homeassistant, and let supervisor launch a fresh one.
However, it would not permit to restore the backup :confused: