I work with qubes-whonix. My chain looks like this: sys-net → sys-firewall → sys-vpn → sys-whonix → AppVM.
In my work on AppVM, I work with clearnet sites (which have no onion analogues) on a daily basis. I have to log in to these sites many times (which is problematic with tor due to the very slow capcha and without cookies). So I choose between a TOR browser with persistent cookies + an extension to use proxies inside the TOR browser (so that clearnet sites see me as a non-tor ip address) vs. Firefox browser with persistent cookies + an extension to use proxies. At the same time, I need to remain anonymous, or pseudonymous.
Which browser should I use to stay pseudonymous and do my daily work with clearnet sites?