Will price increase as demand increase?
The law of demand is a microeconomic law that states, all other factors being equal, as the price of a good or service increases, consumer demand for the good or service will decrease, and vice versa.

Now, when you say that "if demand increases then the price of the good will increase"", you aren't changing the price and based on the change in demand you are now predicting that the price would rise which is clearly against the law of demand as your "increase" in demand is obviously due to more user engagement, advertising, or some other external factors.