Could a gravity assist from the Milky Way's Supermassive Black Hole sling a spacecraft across the Galaxy?

[Space.com]

It would be a long trip to reach it from here but falling towards the core must give it some boost if we wanted to explore the other side of the galaxy.

 

[Questioner]

There's a star 10 times the mass of the Sun that gets accelerated to 3% the speed of light on the inner hairpin turn of its orbit around the Milky Way's central black hole.