Question: plot3d of integral

Z := proc (theta) options operator, arrow; sin(theta+2.3)+sin(2*theta+2*(-1.5))+sin(3*theta+3*(-0.94e-1)) end proc

Zbar := proc (theta, phi) options operator, arrow; Z(theta+phi)-Z(theta)end proc

plot3d(int(signum(Zbar(theta, phi)+l)*abs(Zbar(theta, phi)+l)^(1/4), theta = 0 .. 2*Pi, phi = 0 .. 1, l = 0 .. 1)

Hello, I am having some trouble plotting 3D of these function. There is no error message or anything, but when I enter plot3d command it takes too long, that I have to terminate. Is there any method to plot these kind of functions?

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