I have not removed the 3 stripes, and the cooler is still unused. So according to what you guys are saying, i should simply mount it and that's it?!
Also, i'm not sure about the OEM thing, but i purchased the CPU as "boxed", and the small box had the intel cooler in it, alongside the CPU. Not sure if that qualifies it as an OEM cooler or not, or if it makes a difference whatsoever...
What you have is the stock INTEL cooler. An OEM cooler is one from some other source than Intel, such as CoolerMaster, etc.