[Chrome] Battlelog web plugin not installing

First time ever encountering this bug, I see that Battlelog has an update, I download it as usual and it installs.... or so I thought...

I have tried to restart Origin, restart Chrome, reinstall chrome, clear everything with CCleaner, uninstall Webplugin through Control Panel and nothing works!

I have tried the fix of going to chrome://plugins but the thing is, Battlelog app doesn't even appear there. Battlelog itself works absolutely fine, even without said plugin installed after I have deleted it through Control Panel. I can access all pages, the forums, etc.

It's just that whenever I try to join a server it goes to the loop of "Download and install the latest browser plugin to play the game.". And when I try to click Continue, it just pops the screen back up again.