I want to calculate it again completely differently. Deliberately very conservative.
I could buy the plot + house for €100,000. The remaining €28,000 I can repay directly to my mother over the next few years.
So after all €128,000.
Extension of approx. 9x4 meters
How much living space might that be on two floors, 60? 60m²*€3000/m²=€180,000
Also a large dormer and a complete renovation
New roof, facade insulation (mandatory due to extension?) and the whole rest... I would say 100m² * €2000/m² = €200,000
That makes a total of €508,000. Equity goes towards kitchen, furnishings and buffer.
Loan amount therefore rounded €500,000. Slightly more than your estimate:
[*] Total house costs: €351,500 [..] [*] Financing amount: €325,000