I installed hass.io in a docker environment and it’s asking me to login every time I reload the page. I never get the “remember this profile”-popup in the lower right corner. Also I noticed that for each reload of the page a new refresh token is being generated in my profile page.
I tried different browsers, cleared cache, cookies, nothing seems to help.
I tried 0.108.0 Home Assistant Core (docker installation) and, after saving the initial login, it doesn’t ask me again.
I can’t reproduce the problem you are experiencing and don’t know how it stores the login credentials. Therefore someone more familiar with this issue will need to step in and assist you.