The property should and must be divided physically. Sounds to me as if the gift can be made without additional costs since you are below the exemption amount. Congratulations!
There have been many topics recently regarding [Ehevertrag]/ [Finanzierung] / [Zugewinngemeinschaft] etc.!
One approach for you, in my opinion, would be a modified [Ehevertrag] tailored to your needs. Arrange an appointment with the notary for this.