That is no longer stated in the conditions of KfW.
However, I do not know whether this is intentionally or accidentally forced by the wording regarding the only property as of the key date.
I was just on the website of the Verbraucherzentrale because I want to apply for the BKG myself and informed the architect that the building application must still be approved this year.
Here is the quote:
You only receive Baukindergeld for the first property. If you already own one, you cannot apply for it. This also applies, for example, if you have inherited or been gifted a property and are listed together with others in the land register with only a share of it.