... definitely seems "unprofessional" to me. From the usual size for room doors "88.5 cm" there would be about 82 cm of clear passage, with the nominal size "76 cm" it is approximately 69 cm, which is why this is often used in bathrooms in social housing. In the sense of dimensions for a floor plan, that already makes a difference, and with too small dining tables and the like, people also like to cheat here.
Yes, a room is necessary according to the [Betriebsvereinbarung]. Unfortunately, a separate PC has to be there as well. But it is probably better to be able to work with some concentration, especially if there should be children around at some point.