We have just dealt with this topic in detail here: The house always belongs to the person on whose property it stands. No matter who paid for it. So you need to discuss from various perspectives what risks and side effects there are if you realize this project in the intended form. For example, with regard to the later inheritance tax, the possible need for care of the father, and so on. External tax and legal advice is certainly advisable here as well. And fundamentally, you should of course ask yourself whether it is wise and prudent to live wall-to-wall or terrace-to-terrace with strangers that your father has chosen as tenants for his half of the house, whether with shared or separate property.
If in the end you really want to tackle the matter of the semi-detached house, it might perhaps also be an idea that your father leaves you the money for his half as an advance inheritance. Every ten years, there is a new tax exemption amount of EUR 400,000 available. It could be stipulated that the rental income attributable to his half belongs to him if it is important to him to have regular income. It’s all a question of the exact arrangement.
Personally, I would not build a semi-detached house, but that’s just by the way. If two full floors are possible there, I would rather arrange the residential units one above the other. I shudder at houses where at some point the two halves of the facade or the roof are in completely different conditions because one takes care of it and the other does not.