Do I need to pay more stamp duty on a home because I also own a flat?

I bought a flat with my daughter and I’m worried I’ll have to pay the higher rateQ My husband and I sold our main home in August 2017 and are using the money from the sale to buy a new home for us to live in which will cost £445,000. However, about four years ago I bought a flat with my daughter which she lives in and which I also used when working away from home. We are planning to sell the flat next year. But until we do, I am worried that I will have to pay a higher rate of