I would not recommend that with 3,5k net, but when I had my first bank meeting back then, my numbers were in a similar range, slightly better. The advantage of your situation is that you already have all losses from parental leave etc. accounted for. So financially, things are more likely to improve.
When and in what amount will the second income be back?
Will the first income increase again soon?
Can you do anything about the 500€ company car costs and cut them in half?
So you will find banks that will do it, but it is not healthy.
The next can of worms that will probably be opened later—one that I will open—is: Is 515,000€ enough for the entire house? Can you also afford the "Muskelhypothek"? You have to buy materials. That costs a lot of money. A company car doesn’t sound like you are a craftsman. But enough guessing. First, it’s your move again.