The answer is in private. Milady's professional-conduct guidelines state directly: deal with all disputes and differences in private, and take care of all problems promptly and to the client's satisfaction.
This is one of a set of client-relations rules in the same passage, which also tells barbers to use tact when dealing with problems and to maintain confidentiality — never discussing other clients or coworkers. Avoiding the topic altogether isn't the same as handling it discreetly; the book calls for prompt, private resolution, not avoidance.
Milady Standard Barbering, 6th ed., Ch. 3 (Professional Image), p. 48: "Deal with all disputes and differences in private. Take care of all problems promptly and to the client's satisfaction."
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