Sorry, I probably skimmed over this aspect too quickly earlier:
There is still a draft for the notary purchase contract, which we only have to sign once the house is completed (around April 2022). We will receive the house turnkey.
... and in that respect I also understand the association with "scammers, hustlers, conmen" ;-)
Under such conditions, the house would rather be finished in 3033 or 4044. Read around in this forum a bit using the keyword "payment plan" (they sometimes refer to property developers and sometimes to general contractors, in between you might have to think differently, because with a property developer the big chunk including the land is included upfront, which with a general contractor is charged separately). You will quickly realize: a payment plan in two installments, about 4% before the starting signal and then 96% after completion, that cannot work honestly, no property developer has that much capital or would ever want to tie it up for so long by pre-financing. Either it doesn't work, or it's not above board.
The good news for you is: it doesn’t work (indicator: timing of the notary appointment).
If the notary appointment took place at the beginning (where it would actually belong when buying from a property developer) but the above-mentioned "payment plan" were the same, you would immediately receive an invitation for a talk ;-) from the public prosecutor (due to suspicion of aiding money laundering). You will probably only understand the last paragraph after 1. completing the aforementioned reading session here with the keyword "payment plan", 2. taking a look into the real estate agent and property developer ordinance, and 3. asking a banker you trust to try to explain the topic "Basel" to you in layman’s terms. Only then should it become clear to you that either in the statement that the real estate agent builds with her own "money" the prefix "black-" is missing, or the time until you become suspicious is intended to be used to acquire with your money a one-way ticket to a palm beach country that does not extradite to Germany ;-)