If the wall only spans within the width of the road, then it makes sense to map it as a barrier= on the road. However, if the fence is wider than the road, it seems more logical to have two separate roads split by the wall. It looks like the former case applies here, but maybe not - I haven’t visited the site to know for sure.
If the gap between the roads is passable on foot, noexit=yes won’t work, but there’s also nothing preventing the road from being split without noexit=yes on each end (and even adding a highway=path to represent the pedestrian path between the roads).
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