Is flirting with customers while you are working considered unprofessional?

TsundereMatrix
I work in retail and I caught one of my managers flirting with a customer. He’s the type of guy to be very serious about his job, has really no sense of humour, and very stern but with this girl he was making jokes, asking her if she would date our other coworkers, giving her outrageous discounts that would be not approved by just any other customer and then smoothly hands her his business card and asks her to call him. At this point I’m thinking why is he acting so weird and he shouldn’t be giving her special treatment.

I had customers try to flirt with me and get my number but I felt like that was inappropriate for a workplace. I’m there to work, not get a date. If I was looking to date, I would go elsewhere.
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And no I’m not jealous. I would never date someone I work with. I find that weird and possibly toxic.
Is flirting with customers while you are working considered unprofessional?
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