Grape hyacinth, healthcare

There's a patch of grape hyacinth growing in the yard of one of my apartment buildings. I've let it go for a few years and it's... increasing its territory without permission, a Putin move, a Bibi move.

This wouldn't be a problem except that it is pretty thick and pretty aggressive and it's slick as hell when you mow it. It also kills off the grass where it invades by choking it out. The section of grape hyacinth is on a hill, because of course it is. That's fun when operating a mower. *sigh* I can't just live with it.

( Just poison it? )