IMO you do not need to remove all the silicone from the corner.  Remove the silicone that is tattered and has come loose.  Then run your masking tape a mm or 2 from the old outside edge of silicone and re-silicone right over.  
 
Use the plastic spoon to give your corner a nice look and then remove the tape. 
 
I'd do the 4 corners let them dry and then do the bottom (if needed). 
		
	
		
		
		
		
		
	
		
		
	
	
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