Rule 614.11 · Replacement Effects
Some effects replace card draws. These effects are applied even if no cards could be drawn because there are no cards in the affected player’s library.
Subrules
If an effect replaces a draw within a sequence of card draws, all actions required by the replacement are completed, if possible, before resuming the sequence.
If an effect would have a player both draw a card and perform an additional action on that card, and the draw is replaced, the additional action is not performed on any cards that are drawn as a result of that replacement effect.