Hm. This wording might work better...
"Gains a counter each time
you draw a card in a turn.
: Gain +1|+1 per
counter. Max of +3|+3"
Based on what I've been reading so far, this would clarify the ability more, because from what I initially saw, the card implies that you have to activate the ability -first- BEFORE drawing additional cards, at least until you explained it.
But that's just a suggestion, of course.