It’s not clear whether you are talking about the data or the Nominatim algorithms. You control the data, although you must not change in in a way that loses information or misrepresents the real world, even if that would result in Nominatim producing better results. The data must be correct, even if rendered maps, routers, reverse geocoders, etc. produce unsatisfactory results.
Also the feature that Nominatim is finding has a very unlikely name. It looks like a description, and names should not be used to contain descriptions, only the official name. Quite likely it has no official name, but if it does, I would expect that to be in Arabic, as I would expect for the all the other features in this area. I suspect a destination tag would be more appropriate here.
It is also mainly outside the the area for the suburb, so it seems reasonable that it is not being associated with the suburb. Although I’m not sure how Nominatim handles administrative boundaries, typically if you want a feature to be definitely associated with some region, you need to use is_in tags, on the feature itself.
Also, there are two conflicting claims to be the name of the neighbourhood, the second being Liwan. Only local knowledge can resolve whether one is a duplicate of the other or whether one should be coded as a smaller type of unit than the other, so it not possible to say whether one should be removed, or simply re-tagged. If you don’t have sufficient local knowledge, the best option is to add a map note pointing out the conflict and asking for someone with local knowledge to resolve it.
My guess is that Nominatim has tried to find the nearest named road or POI to the position, then reported the containment information for that feature. As the feature is mainly outside the area, it has used the, more fuzzy, point as its way of matching it to a containing area.
“Pool Bar & Lounge” (together with most of the other features in its immediate area) and “Faculty and Student Parking” also look like they are descriptions being mi-used as a names.