Sometimes a server change on a vpn fixes the login errors on Aurora for me.
The only alternatives I can think of would be services like APKMirror, where you can download the apk itself, although a lot of those sites are a little sketchy imo. You can scan the apks with a website called VirusTotal. Some apps also have a github, and you can use Obtainium to update them. Lastly, you can use Firefox or a fork like Iceraven to install a website as an "app" and just use the website like that
Edit: typo