Just a small observation, as I know most folks here are not too familiar with metric.
With a UNF or UNC thread (or a BSF, or BSW) the bolt / screw is normally slightly under the nominal size. When you tap a hole, the tap will be the exact size, giving enough clearance to turn the screw.
Now, the question for the O.P. is - what sort of 6mm?
If it’s an old one, S.I. metric or one of the old national standards, then the same applies - the screw will be a bit undersized.
But… ISO metric is different. An ISO metric 6mm screw will measure 6mm, give or take. An ISO metric tap will be slightly oversize, so the tap provides the clearance to turn the screw. The clearance hole will therefore need to be bigger than 6mm. ISO list two clearances - a close fit needs a 6.4mm and a normal fit 6.6mm.
In practice, not all ISO screws meet the standard, and some, particularly from the far east, tend to come out undersize. I just measured one or two reasonable quality ones from my stores however, and they’re averaging out at 5.97mm, so less than .001 undersize!