Just a quick update, because I made some observations.
The only change to my setup mentioned in the previous post:
-UMIK2 microphone, directly connected to my Mac Mini M4 (3 m USB-C cable)
Observations:
-two measurements on two different days: no problems
I'm seriously surprised that it worked without hickups. At the last measuring session I even caused a short disconnect of the UMIK2 - because I did bump the USB plug...

But I was able to continue the session without any problems, a short disconnect of the microphone (while moving it to the next position) seems to cause no issues at all for Dirac Live.