What happens to a magnet if I hold it just above the event horizon of a black hole so that only the magnetic field falls in?

Picture this: I go to the central black hole in our galaxy right now and hold a regular bar magnet that has two poles (N) and (S), and I proceed to hold that magnet a few microns Above the event horizon with the (S) pole facing downward and the (N) pole facing up.

Does this leave me with a magnetic monopole as only the magnetic field from the magnets (S) pole is falling in while the (N) pole that is facing up remains unaffected?

Or does it just demagnetize the magnet all together due to the magnetic field being “drained”? 🤔

The magnet itself (the metal part I’m holding) does not at any point touch or cross the event horizon, this is important. The magnetic field coming out of the magnet, however, is the only thing here falling in.