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I'm not aware of an easy way to do this. But, here is one idea:

var('x y z')
p=implicit_plot3d(x+y==z,(x,-4,0),(y,-4,0),(z,-10,0))
p+=polygon3d([(-4,0,-4),(0,0,0),(-4,0,0) ])
p+=polygon3d([(0,-4,-4),(0,0,0),(0,-4,0) ])
p+=polygon3d([(-4,0,-4),(-4,-4,-8),(-4,0,0),(-4,-4,0) ])
p+=polygon3d([(0,-4,-4),(-4,-4,-8),(0,-4,0) ,(-4,-4,0) ])
p