Interesting scenario. I'd say that you'd have to really parse the language of the warrant to be certain but as long as this is all happening within a relatively short amount of time then they shouldn't need a second warrant. As long as the second draw is happening while the warrant is still considered to be ongoing it would be ok. If enough time passed or if the officer filled out the return and "returned" it to the court then the warrant has already been served and you'd have to go get another one.