It turns out that a hot solution of alum (ammonium aluminum sulfate), which is available in the spice rack of your local supermarket, will dissolve the steel drill bit without reacting with the brass.
You can see a video of his process below. The experimentation started with fish tank clarifier, which is — apparently — mostly alum. Alum’s been used to treat wastewater for a long time.
“In the treatment process, liquid aluminum sulfate reacts with hydroxide ions ... the Egyptians reportedly used the chemical alum as early as 1500 B.C. to cause suspended particles to settle ...
Serious adverse events may be caused by different constituents in a vaccine: the active antigen, an adjuvant such as potassium aluminium sulfate ... The most widely used aluminum-adjuvanted ...