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Your reasoning has two problems. First of all, a black hole does not exist at a point, so its trajectory isn't even definable on small scales. Second, the event horizon is not a fixed surface around a point singularity. This is true only for an isolated static black hole. Anything with a neutron star crashing into it certainly doesn't fit that description. An event horizon technically isn't even definable without knowing the future, so it isn't a very useful concept in this sort of situation.
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