A ring with $($mass $3$kg$,$ and a radius $1$ m$)$ is horizontally mounted with a pivot at the center, and rotates Counterclockwise with an angular speed $0\mathrm{.}5$rad$/$s$.$

A bullet $($mass $0\mathrm{.}1$kg$,$ speed $40$ m$/$s$)$ is shot and collides with the ring at its radius $1$ m$,$ and then remains lodged.

What is the initial$$Moment of Inertia of the Bullet?