1,300 sqm is difficult in Lower Saxony, but not completely unrealistic. It depends on the equipment. We have €280,000 for our city villa as a fixed price (construction start soon). 188 sqm, almost the same size. That corresponds to €1,487 per sqm.
However, we already have a lot of things included: underfloor heating, geothermal heat pump, ventilation system, soundproof bricks for the interior walls, concrete staircase, RC2 windows and doors, large garage 6x9m including sectional door.
If you remove all of that, we would have come to €230,000. Then add the garage with €10,000 - €15,000 on top, then we are also roughly at 1,300 sqm.
But: minimal electrical and sanitary equipment. We are still calculating with an additional €10,000.
So it doesn’t seem completely unreasonable to me.