Also have some questions
There was a plan after the house was built and the garage was placed. Afterwards, you wanted to enlarge the terrace and extend it up to the garage. Was this already known to the general contractor (GU) at the time the garage was commissioned? Or did you decide this afterward? I wouldn’t know why the GU and/or the garage construction company should be responsible for this in any way. Or did I misunderstand something here?
Please provide some (partly already requested) information. The easiest would be a plan with measurements, showing what is where, so one can really get an idea.
3cm sounds like, as was already mentioned, there might be other solutions (removing the door, slope, etc.) but you need to be able to get a picture of the situation first.