Click the square/arrow to the right of any label, there are a plethora of options, including when and why a label should be shown at all costs. Frankly, the label functionality that exists now, in the redesign, is amazing.
Ok, upon closer inspection of your original screenshot, it appears you need to hover the padding-area between "Chat" and the border line above -- a separator between labels and the chat modules. You should notice a resize cursor and an ellipsis icon; this separator is movable and reveal more of your labels, without having to hover the labels area to reveal them.
Important tip based on what I see in this thread from multiple people:
If the response is "oh, no problem, just try to find this button, or hover on this very small area to trigger a non-obvious behavior"... we're probably not talking about good UX.
You've never hovered over the chat area? Nonetheless, the bar could could probably use a hint when also hovering the labels area. I'm still unsure how you have written off the designers as simply inept. I could take down any UI with such an attitude.
Wince every OS (MacOS and Ubuntu and Google anyway) adopted on-mouseover scrollbars and click corner to resize?
You might be also interested to learn about this new peripheral that you put on your desk and wiggle, and--get this-- it makes a pointer on your screen move. Crazy, right? It will never catch on! Touch your desk to interact with the screen? What brain-dead idea will they come up with next?