I'm wrapping up my cabinet carcass construction and was about to start installing the uppers on the wall but when I went to check the wall for plumb it was pretty far out and made me pause to consider the best path forward. I ended up deciding to take down the sheetrock entirely as it's a laundry area with very loose ductwork that made me nervous and I needed to relocate and install new outlets. I'm glad I did that because somewhere in the past someone literally cut about a foot section out of one of the studs without re-bracing it and the duct was basically just pressed between the wall and being held up to the next connection by duct tape.
The studs are about 1/2" out of plumb over 8 feet and I'm not sure what the best path forward is to resolve the plumbness issue and a new issue with the duct. The washer dryer were added to the condo well after it was built and they put 4 inch duct pipe in between the walls. Not a big deal usually as that stuff can compress a bit but these studs are barely 3" at the widest and its compressing the duct too much behind the wall.
I've been researching different options and am mulling using furring strips that I'd nail into the studs to get around another inch on the wall and give myself room for the duct and fix the plumbness. Is this a good idea given that I have large cabinets being attached to the wall? Am I losing any integrity by having the screw go through the furring strip and into the stud? I planned on using the larger GRK screws that would still sink into the stud at least an inch and a half. Where and how should I actually fix the plumbness issue? Would I use something like a power planer on the furring strips or do it on the studs themselves? Is this even a good approach or is there a better option I haven't considered? Apologies if this thread is a bit off the mark for an acceptable topic here as this is more framing than wood working per se.