How does gravity escape from black holes?

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I know that it is not well established that gravity is made out of gravitons.
I also heard that it is not well established that a graviton is equivalent to a gravitational wave, due to doubt of quantizationability of gravitation.
If gravitons exist, how do they escape a black hole? from its surface as a hawking radiation?
If gravity is only a deformation of space-time, and the volume of its pit in (the fabric of) space-time depends only on the mass within a given volume, then if the event horizon is the surface of a vertical slope of the pit of the black hole, where does it stop from being vertical?
Yes, this question is only about theoretical non rotating black holes.

How does gravity escape from black holes? | Ecency