Short of constructing a new wall, how about trying to muffle the sounds, since you are unable to completely eliminate them? Maybe a false wall or screen that is either attached or butted against the wall. This wall/screen could be constructed of 2x4's to form a sturdy base, make sure base IS bottom sturdy so it will not topple. Foam insulation boards could be nailed to the 2x4 frame, sandwiching a layer of pink fiber insulation (use the stuff that's completely encased in plastic sheeting so not to touch the stuff). You could butt this against the wall and to secure it better, attach it to sturdy box type cabinet/shelves on each side/bottom leg to make it sturdy. If this "frame" does not completely cover the wall area the noise will still be loud, but maybe muffled enough to keep your sanity. You could decorate it with pretty upholstery fabric or other noise absorbing surface or even paint it, but you won't get that extra noise absorbing value with just painting. Of course this won't eliminate the noise, as stated earlier by the "guys". This is all just an "idea" so please look into construction pro's and cons.
Just MAYBE, the super or someone could build you a real false wall with insulation and have it properly installed by bolting it to the wall/floor. Is this asking too much? You would loose a 2-4" of your room space if such a wall were made.
You could also add a water feature in this area or in your bedroom so to create a "white" noise to help you sleep. You can make a water fountain by buying a small water pump as used in aquariums/ponds and have a waterproof container to hold about 3 gallons of water. [Test this in the bathtub!] With the proper attachment you can create a fountain that will spurt out just enough water to fall back into the container without wetting your floor and create a nice water splash sound that you can live with. Similar to those desk top water fountains, but you want to have the water make more noise. If you buy one of those you may be able to adapt it to make a louder noise, but the pump may be too small.
OR get one of those white noise machines or CD's of soothing sounds that you can play during your sleep hours. A 5 disk CD player will get you through 5-6 hours, maybe just enough for a night's sleep??