Isaac Mizrahi Live! trench coat w/o belt size S

Somehow this adorable trench got separated from its original belt but it’s in excellent condition and I know someone has a belt they can pair it with and give it some love. I noticed while I was giving it a light steam how easily the water beads off it. Not sure if it’s meant to be a raincoat but it acts like one. The second pic is closer to its depth of black.