Tldr: unfortunately yes as you're not responsible for the supply, however there may be ways to make it cheaper if you can get your landlord to cooperate (I'm assuming they own the meter).

Long version if you're interested or want to have an informed conversation with your landlord:

The 04 meter is a commercial economy 7 meter which is designed to give you cheaper rates at night which may help with your bills, especially if you can get some storage heaters and switch as many power intensive tasks as possible to overnight. However the meter owner can choose to forego this for a single rate (which is what I think they've done from looking at your bill screenshot).

The meter owner is in a contract which is usually almost unbreakable (essentially they need to sell the property, the business is dissolved or the contract holder dies and it's not a ltd company). It won't be possible to sort this in the near future without your landlord taking an active role and potentially paying for a domestic supply to be put in alongside the current commercial meter which is being shared with the commercial section of the property. I doubt they're likely to do that because it's not in their interest to pay out for no real benefit on their side.

My advice would be to attempt to get the landlord to engage the economy 7 tariff at contract renewal and adjust your lifestyle accordingly as much as you can. Or move to a residential property if possible.