Bluetooth visibility

[NinjaRanga]

This is more of a general question, I guess, but also relates to the beta.

Does anyone know how to turn off Bluetooth visibility so the phone is not permanently visible to everyone? I was at the shop today, looking at my list on the phone, and a notification popped up to say that a Galaxy watch was nearby and did I want to connect?! I have a Gear S3 that was already connected, so I know it wasn't that, so it obviously belonged to another shopper.

I then tried to turn off Bluetooth visibility but couldn't see a way to do it. I remember being able to on previous phones but can't see a way to do it on the S21 Ultra. I've turned off Nearby Share and Music Share in case they make the phone visible, but no joy.

Anyone know if it's possible? Thanks.

[BeemanNo1]

I'm asking the exact same question for my samsung a16 5g mobile phone. None if the answers are answering the question.
I'll try asking the same question a different way. Here goes.
While using my bluetooth head phones listening to music how do I make my open bluetooth signal invisible to other bluetooth users without switching my bluetooth off.

[Marsilisa]

Soo it's been 5 years and we still have no solution i take it?