Unfortunately, you can't access GMail over its "native" protocol using app-specific passwords: it'll only work for IMAP. And the GMail client is a terrible IMAP

Unfortunately, you can't access GMail over its "native" protocol using app-specific passwords: it'll only work for IMAP. And the GMail client is a terrible IMAP client. My inbox and folders / labels would constantly desync. I'd moved to FastMail a while back and the problem persisted, so I'm reasonably sure it's the client. I'm actually using Outlook as my e-mail client now. It's surprisingly snappy for my minimal needs. Maybe I should switch to iCloud for e-mail, and aim for the trifecta...