How close can a ship get to Sagittarius A?

Assuming that the only fancy available technology is FTL drives (to get there) plus anything needed to protect and sustain a crew during the journey from Earth to Sagittarius A (whether it takes a few days or centuries is irrelevant to the question).

Ship and crew have no way to counteract or protect themselves from the temporal and gravitational effects of the black hole on the spacetime continuum.

How close could a ship come to Sagittarius A before being in danger of destruction?

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How close can a ship get to Sagittarius A?

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