you could get a combination bit the doezitall but the problem is the brickwork may let the bit wander off station and make it off level. I know Bosh make them and I used them extensively when at Smiths.
They are on TV and supposed to be able to drill through a file, (a little BS from my experience.)
The trolley allows me to move the cabinet in and out of the garage si I can work on it I will take a upskirt of it later for you.
How come you are awake at this time?

Regards Rob