What did his joke mean?

I have a flirty relationship with a coworker which involves prolonged eye contact, staying, teasing etc.

We were stood talking with other colleagues and there was a joke about something, to which I said “I like guys with beards”. To which he replied “does anyone have a razor?”

I felt a little embarrassed. Do you think he meant anything by it? Was he saying he finds me unattractive or is he into me?

What did his joke mean?
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