I would think that if you add fuel to the air intake and it starts and then it also starts when warm that it is just simply to lean.
Also there is no way you should be able to keep your hand on, or even touch the header pipe after even a few minutes of riding. My bike runs on the cool side of the temp gauge even today in 87 degree weather and you'd get a blister with any contact on the header pipe. That cylinder may not be firing at all, you me be running on 3 cylinders. Just get it started and then pull the spark plug lead off of the plug while the bike is running and see if it changes or stays the same. If it stays the same, something is wrong with that cylinder, maybe the plug, lead, coil, no fuel in that carb etc...