Selling cars from voluntary assets

Hello, I have inherited a car, which is 40% of the business assets of a craft business. I have inherited the company, but it is being processed. Now I sell the car and I sell VAT for the 40% share. (This is basically also ok because I am a business manager as a graduate.) My questions now: – If I want to use the ADAC purchase contract form for cars, am I then a commercial or private seller? – Is there anything else to consider about the “private” Car sales differ? Greetings Lupo