The thread is drifting in a direction I actually didn’t want, and my original question has only been truly addressed once so far, but whatever. Let’s fix it together:
So the "Heizkreispumpe" symbol runs continuously. The "Wasserhahn" only comes on after showering or when we have used hot water, logically. The compressor only turns on when the temperature in the tank falls below 45 degrees.
We have an error log that currently contains 20 errors of the same type, with different timestamps, stating "Min ueberhitzt." According to the manual, the error means that the refrigerant is overheated. Hot water is still available.
I haven’t even seen the actual symbol for the heating so far. The heating diagnostic tool only shows 2 hours of heating, and that has been the case for several weeks.
"Doesn’t work" means something like "the house doesn’t get warm." How else am I supposed to describe the error if even the (hopefully) trained heating technician can’t do it. They absolutely have no idea what the cause is either.
The floor in the bathroom is so cold that I can now even imagine they connected the cold water to the heating. But that should probably have been noticed by the plumber on Tuesday.
The fact that we only have 16 degrees in the bathroom is simply because I shower very early in the morning and ventilate, and my wife does so very late in the evening.