I got told that this is not a TeamSpeak Bug. I have had the same problem for 2 years (with the community server) and after I talked to the Developers no one knows how to resolve it.
I assume that the interface is loading before the network connection is established. This is sometimes the case with my Windows.
Technical Aspects:
Autostart is enabled
Windows 11 Insider Preview 10.0.22622.290 (ni_release)
(last time happened at Windows 11 Insider Preview 22610.1 (ni_release))