The answer is thank-you note. Milady's interview guidance states directly: remember to follow up the interview with a thank-you note or e-mail, simply thanking the interviewer for their time.
The book even provides sample thank-you note templates, including a variant for a barbershop you don't expect to seek employment with but observed as part of your training. A thank-you gift, a direct job-offer request, or asking for a second interview all overstep the simple, professional gesture the book actually recommends.
Milady Standard Barbering, 6th ed., Ch. 19 (Preparing for Licensure and Employment), p. 728: "Remember to follow up the interview with a thank-you note or e-mail. It should simply thank the interviewer for the time she spent with you."
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