tl;dr: they have stopped sending keys via e-mail and are now assigning the access (aka the beta badge) to your account.
Closed beta access - Announcements - TeamSpeak
If you registered for beta access in the current registrations – When we get the ok to allow more people in, your beta access will be assigned to your myTS account without having to take any actions (so we are no longer sending emails to everyone with the codes to redeem). This means once you have access to the closed beta, you can then go to beta.teamspeak.com , login and you should be redirected to the downloader, so you begin testing the new client.
