Training volume with certain lifts

Quick question. I understand that you need the right amount of stress to have the desired adaption. And I understand volume plays a huge role is providing stress . But I’m curious in a instance where let’s say a persons bench press is “stalling” would it be the training volume as a whole that is insufficient or would it be the training volume for the bench press is most cases? My only confusion is when to add more volume to the whole program or to a specific lift. Or when to let’s say change the volume vs when to change the intensity.
Thank you for to it time.

I don’t think that the bench press develops fitness adaptations from non-upper-body exercise, so the volume and other programming parameters of the upper body training would be the first place I’d look.