Earlier quoted context omitted.
I suspect that the export feature is going to be "broken" for a good long while; I've been waiting for mine since 8 am ... a little over 5 hours now.
It took exactly 24 hours, to the minute, from the time I received the "we're generating an export" file until I got the download link, so guessing they're either batching it or deliberately sending after 24 hours because it adds friction to the account deletion process.
... and now the login/logout endpoints are broken for Claude this morning, because of course they are!