Personally I think it should be illegal for government websites to even present you with a captcha, especially one from a hostile corporation like Google. But this is a battle I've long since quit fighting...
I recently wanted to check the price of tickets on Ticketmaster. Got an error about me looking like a bot (this was clearnet from a foreign country). Same deal with Tor.
This is why we cannot have nice things. Ticketmaster wants to keep all the scalping on their platform and not anyone else's.