You are right, It wouldn't dissipate instantly, but I am afraid quicker than it will take us to generate a 700 milibar pressure atmosphere in Mars. I was simplifying. And, BTW, do you know how much N2, O2 Argon, CO2 and water would we need to increase Mars' atmosphere to roughly the same pressure as the one we have on Earth? Tons. (It took millions and millions of years to raise O2 levels on Earth to the ones we have now)
Right now, water cannot exist in Mars surface in liquid state, The pressure is too low, If there is some, It would be as ice, and at such low pressure, ice doesn't melt, it sublimates and, very slowly, scapes from Mars.