Booster Plus doesn’t display Updates

hey there!

sorry, this feels like a really lame (and pretty much “general wordpress rather than booster per se” question, but i please need your help:

i’ve noticed my booster plus being outdated and not updating.

it’s 5.6.4, and the wordfence scan just informed me that there is a vulnerability in it which has since been patched, so i wondered why it hasn’t updated.

Now I basically have two questions:

1. the plugin has a button “check for updates”. when i click it, nothing happens, except the page refreshing. after that, everything is the same as it was.. looks like there is something wrong here, right? i assume it should display the newest version and offer an “update” button or something? but it’s nothing there. (How) can i find out what’s wrong here, and why there’s no update button?
2. I logged into the Booster homepage, and from there, i can of course download the current version. but nowhere on that page do i find instructions on if that’s an “official” way to update it, and how exactly i should do it (i’m not familiar with this updating process at all). Do i need to disable+remove the current version, then upload the new one to my webspace? Will my settings be deleted? If so, how can i save a backup of them?

I really appreciate any help for this, thank you very much