So, maybe someone can explain in more concrete terms. The distance from us to the supermassive black hole in the center of the galaxy is 25k years. A photon tra

So, maybe someone can explain in more concrete terms. The distance from us to the supermassive black hole in the center of the galaxy is 25k years. A photon traveling from us to the black hole, that happens to go around the black hole and come back would reach us in 50k years, or in 50k years plus a few million years due to the local time-space distortion around the black hole? If the photon goes around the black hole once and escapes and comes back, will it be back in 50k years, or in 1 billion years?