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The tidal distortion (bulges on both sides of the earth nearest and furthest away from the moon) is what's important for the recession of the moon. The oblate-ness of the earth due to it's rotation is a more permanent bulge around the equator, which is interesting but nothing to do with why the moon is receding?
Returning to the main topic, the tidal effects from the moon would seem to generally increase if the moon did come closer to the earth (with the moon having much the same mass).
Which would then tend to oppose progress toward the earth and encourage recession. Unless the mining operations on the moon are astonishingly rapid, this may help to prevent the moon spiraling into the earth.
However, maybe most of the energy lost would be noticed in the reduction of earth's rate of rotation.
if the earth quickly moves to a state of being tidally locked to the moon's orbit