Fugacity is a tricky concept, but let me try to explain it in a simple way. Imagine you have a friend who lives in a fancy house with lots of toys and games. You really want to go over to his house to play, but you need to ask permission first. Your friend's mom tells you that you can go over if you bring a snack to share with everyone.
Now, the snack you bring is like the "pressure" of a gas or a vapor. Pressure is how much force the gas molecules are putting on the container they are in. But just like bringing a snack isn't the only thing that matters when you want to play at your friend's house, pressure isn't the only thing that matters when it comes to gases.
Fugacity is kind of like a "correction factor" for pressure. It takes into account things like how much the gas really wants to escape (or "fugacious" it is) and how much it interacts with other molecules around it. Not all gases behave the same way, so we use fugacity to help us compare them.
Basically, fugacity tells us how much a gas molecule really wants to leave whatever container it's in (like the pressure cooker on your stove) to go somewhere else (like the air around it). It's a way to adjust the pressure and make it more accurate for different gases.