Accepted answer
There is no count, and 30G is why: coring is a single event, not an accumulation. A needle cores when its bevel punches a full disc of rubber instead of parting it, and that either happens on a given puncture or does not. At 30G the bore is narrow enough that any disc it cuts is small and easy to miss under inspection. Technique moves the odds far more than the count does: enter at an angle, rotate the bevel, then bring it upright — that parts the septum rather than punching it. Inspect against a dark background before every draw, because the number of punctures a stopper survives is a property of that stopper and this is the only way to find it out.
Answering this needs to know the viscosity of what is being drawn, since a viscous solution through a fine needle is slow enough to encourage bad technique.
Drawing a viscous or foamy solution through a fine needle takes long enough that people rush the plunger, which causes more foaming. Using a wider drawing needle is the fix.
A 30G or 31G needle through a butyl stopper leaves a track that reseals, which is why fine-gauge repeated entry is tolerable and coarse-gauge repeated entry is not.
Butyl rubber closures are specified for resealing after piercing up to a stated gauge, which is the basis for the fine-gauge repeated-entry practice.
Gauge numbers run backwards. Higher number, thinner needle.