BTW the bank might tell you that you can't legally - they are wrong and misrepresenting which gets sort of serious if you make an official complaint to the onbudsmanCan I just mention why not have a second private account rather than pay any fees ?
Unless it's a limited company this is totally fine with tax etc. Banks don't like it but like you should care
Sole trader and its all your responsibility anyway. Just call one number 2 account (I did this for about twenty years, in fact I also had a number 2 reserve account also )
Different if your Ltd though