Should I stop using the sunbeds before my BA?

The cells that create pigment in our bodies for some reason are unpredictable after surgery in an incision, meaning the cells could make more pigment when exposed to radiation that is irreversible, there are new safer tanning beds available

Sunbeds are a bad idea for many more reasons than your BBA and scarring.  Unless you are trying to get skin cancer, I wouldn't recommend using them.

Any tanning will enhance scarring. You should avoid tanning beds all together for reasons including pre-mature aging and skin cancer. Self tanners and spray tans have come a long way since being introduced in the market. Best wishes and good luck!

UV radiation can worsen your scars and accelerate the aging of your skin.  I would advise to avoid or minimize your tanning bed time before and after your procedure.