The control board on your furnace tries three times to prove a flame and then goes into a lock-out mode. You'll have to reset the thermostat to recycle it. It's working correctly.
Mud-dubbers and spiders like to build their nests inside the furnace and block the proper flow of things. The screens you can get at RV supply stores do a great job keeping out the wasps but do nothing for the spiders.
You'll need to open up the furnace and make sure there's nothing blocking the flame tube. There's flame rod where the spark jumps from and it must be surround by the flame rod to keep the gas valve open.