I can login to ts5, but why don’t I have Testing Testing Badges ?
The Beta badge was only the requirement to access the global chat. You were already able to use the Client without a Badge just fine.
The requirement for the Global Chat has been lifted a few weeks ago. Making the Beta badge no longer obtainable.
The Beta badge had to be acquired by redeeming it trough a Code or getting it assigned trough beta.teamspeak.com (Now the download page for the new Client. Prior it was a waiting list to gain access to the Client). The login itself would have not given you the badge.