Income: 4800 Expenses: 3150
1650 remain.
Possible rate: 1600 - 1800 Euro
But the additional housing costs are still missing, which will be higher than before. With 1800 you run a loss every month! So that definitely doesn't add up... child benefit or not...
Including interim financing, you would have to take out another 800,000€. Then in the meantime there would be a total of one million euros in debt!! Definitely too much for 4800€ monthly income.
now to my question how much budget can we still afford with our data for the costs of the new building? Does this add up or is it too much?
I think it will still be possible if you first sell the current house (sell now, move out in a year or so) and then use the equity to start the new project. Is the house to be sold for 200,000€ already in your possession? Sounds like an inheritance to me. Or is it about a tax-free sale of a rented property? Well, what you do not currently own in your name will not be recognized by the bank. At most the local bank could be convinced with it.
Make an appointment at the house bank and please report what they say.