Legal Business Name for Sole Proprietor

Hi,

I would just like to check before I submit for verification - I am a Sole Proprietor, and so my Legal Business Name should be my full name as it is on my passport? Or as it is on HMRC registration, with initials - A B Smith (not my real name)

Only checking as I have a friend who has a fully verified account as a Sole Proprietor, and they have been verified using a Trading Name as the Legal Business Name?

Thanks.