ᐅ Is it practical to have a stove along with a ventilation and exhaust system?

Hello, we are building this summer, and we will have a ventilation and air exchange system installed (almost standard in new builds).

Now, my wife wants to have a stove in the living room (just for coziness).

Does this cause any issues, and what are the experiences?

I am unsure if this is advisable.

(If relevant: The living room has an open gable and is about 40-50 square meters (430-540 square feet) in size.)