I KNOW THE ANSWER

I am not just looking over Burinskii’s shoulder, I know how to do this stuff.
“Numerically you need to go slowly at the ring edge, where things are intense. I’d try a radial differential of what 1/10 of r_e. Look at a volume in d(theta) from 0 to the same.”
Actually, here in Kerr coords, theta is π/2…

“Rather the cosine is zero to some small differential, added up.”
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