Rendering Cloth

I’ve been trying to render a short video of a person wearing a cape, using Cloth Physics on the cape object to make it look realistic. I’ve set up the cloth, made the person object collide with the cloth properly, and baked the cloth animation. Now when I press the play button on the timeline, everything looks fine, the animation plays out smoohtly. But when I try to render it to a video or an image, the cloth object doesn’t do anything. The person plays out the idle animation I keyframed like it should, but the cloth object just remains stationary through the whole animation. Does anyone know what I’m missing here, I’d appreciate it.