In a dark corner of my brain I had a vague recollection of having a few 'Cintride' brand solid carbide drills - just maybe they might work. Intended for slow speed drilling of hard steels in a machine tool able to exert significant pressure while rotating. Well I'm forced to use a hand drill so the 'significant pressure' is limited to what I can apply with my tummy

OK I found the box, mainly empty cardboard boxes but I did have one 9.5 mm solid carbide genuine Cintride so lets see what happens:
I've managed to sink the hole now to 13 mm deep - there can't be much material left of the countersink - I'll have to do some maths -
[ You are not allowed to view this attachment ]
[ You are not allowed to view this attachment ]
- go do the Maths Andrew !