If the temperature of air increased, how would it affect the rate of condensation of water vapor

It will increase the rate of the condensation

when the temperature around the water vapor cooled down, it loses its capacity to hold the water, so they will for water droplets.

For example you can compare a warm cup of tea and a warm cup of tea with an ice in it. You will find a lot of water droplets in the iced one because cooler air could held less water than the warm one