Did the same job yesterday. Not sure why you need to put the car into Neutral, so I just set the EPB in the mounting position (using Nanacom) and left the car in Park. My model (2013) doesn't automatically apply the EPB. Cleaned out the shoes with compressed air and brakeclean, carefully sprayed a bit of silicone on the moving bits and adjusted them back up. All good. But I only have .35mm above minimum thickness (17mm) on the disks, so will renew the disks, brake shoes and brake pads at next service in about six months.
There must be a way to disable the auto EPB in your model.
				
			 
			
		 
			
				
			
			
				2013 D4 expedition equipped
1966 Army workshop trailer
(previously SII 2.25 swb, SIII 2.25 swb & lwb, P38 Vogue, 1993 LSE 3.9V8 then HS2.8)
			
			
		 
	
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