First option would be to sharpen your existing 3mm bit or just buy another the same and do the remaining 50% of the job.
Second is look at the quality of your HSS bit, is it a named brand, what sort of tip, any coating. I am moving over to the Dormer A002 bits which seem to work well – split point and Tin coated.
You could then go to one of the alloyed HHS and Cobalt bits which are harder wearing often refered to as HSCo, again Dormer do these and I have a few.
Solid Carbide will be better than the tipped drills which don't have that good a geometry for use in a pillar drill, they are a bit delecate but at least the tip should not come off.
Don't dother with diamond.