Pigeon nest on balcony !

Hello , 

I moved into a flat on 15/06/21. I noticed on balcony an egg shell but thought nothing of it as loads of seagulls & pigeons on rooftops. 
Few days later I could hear lots of chirping from under some sunchairs leant up against wall of balcony . 
I went out and looked and two baby pigeons behind.Always adults around . 
08/07/21 2 babies out in open on balcony enjoying sun and flapping . 09/07/21 only one out with adult . 
12/07/21 as I’d only seen one I had a quick look and one baby was dead in nest other still there . 
My question is do I remove the dead one ? Adults are still around and are routinely appearing . It’s a flat wide balcony and they are basically on the floor if it so I can’t see adults removing it but will they keep looking after other one ? 
just not sure what to do ….. Thankyou in advance Blush