De'Longhi Caffe Corso not pumping water, loud buzzing noise (ESAM2800)

My De'Longhi Caffè Corso was not pumping water and making a loud buzzing noise instead. I had tried to prime the system but it still was not working. So here is the fix to replace the pump. The Caffe Corso is a lower cost version of the Magnifica. The model number of mine is ESAM 2800.