An FD with 5° can still be called a shed roof; it just needs a waterproof underroof, and water can still drain off. And so the shed roof is actually the cheapest roof type overall. Unlike the real flat roof, by the way, which is rather an expensive roof type.
No, a cube/flat roof often has this slope. Nevertheless, it is still called a flat roof. But whatever. Flat roofs are no longer a cost factor nowadays.
I assume you have already tested your limit at the bank?
I would visit a nearby builder and ask how much a cube with 160 sqm according to the Energy Saving Ordinance costs with them. Heinz von Heiden, Schwörerhaus, they all have that type of house in cube form. Then plan at least 50,000 extra for furnishings. Then painting and flooring with 20,000. Additional building costs with at least 30,000. Better 50,000. It could be rocky ground. A soil survey would of course be great to have done before purchasing.
So you need: plot and purchase incidental costs
House e.g. 150 sqm x 2200 = 330,000
50,000 mentioned furnishings
50,000 additional building costs
20,000 floors etc.
25,000 garage and co.
25,000 outdoor facilities
15,000 kitchen
All estimated for 2022
If the bank gives its OK, then planning begins, going to builders and home builders...
A precise calculation is usually required but results from the planning.
P.S. Turnkey houses are hardly a thing. Often the painting work has to be organized yourself. Kitchen too. Etc.
At 2,500/sqm you are well positioned. But that is only for the house. No outdoor facilities, no additional building costs.