§ 303. Provisions relating to stenographers applicable to assistant stenographers. The provisions of the preceding sections of this article and section thirteen of this chapter are also applicable to each assistant-stenographer, now in office, or appointed or employed, pursuant to any provision of this chapter or the civil practice act, surrogate's court act or court of claims act; except that the stenographic notes, taken by an assistant-stenographer, must, if he dies or his office becomes otherwise vacant, be delivered to the stenographer, to be held by him with like effect, as if they had been taken by him.