How to improve basement stairwell drainage?

So we have a basement walkout door. There is a stairwell that leads down to it. There’s a big landing but this is the drain in the middle of it. It has a tendency to get clogged with debris from trees etc that float in. I popped off the metal grate which was easy enough but now I don’t know what is going on. There appears to be a 4 inch rough cut vertical pipe in which I can see some sitting water about a foot down. The existing metal fixture appears to be just concreted in place. I had got the atrium drain in hopes of attaching it but that doesn’t seem to be an option. Should I just get a 3×3 section of hardware cloth or a entrance floor mat with holes and just put that on top?