Thanks Ted.Wall studs would not contact concrete wall = decoupled
There are two types of clips. One decouples the frames wall from the joists overhead. This is the DC-04 clip.
The other clip you may be more familiar with is the sound isolation clips like the PAC RSIC-1 or WhisperClip. These isolate the drywall from the stud wall
If the wall itself is separated from the concrete you would benefit from the DC-04s but not the Sound isolation clips
You would spend $ in this budget build to buy equipment to measure the noise coming off the washing machine?What would come out of measurements Ted, is knowledge. Knowledge that you are up against a specific noise level. That in itself allows others that can help, like you, to know with better accuracy what the build will require.