Particularly since, given Harry’s investigations into the pouch, “Hermione’s body” or at the very least “Hermione’s transfigured body” should fetch it for you no matter what you’ve hidden it as. The pouch isn’t an extra way of hiding something, its a particularly handy way of finding hidden things.
Dumbledore can simply reach into that pouch to grab what he needs.
Particularly since, given Harry’s investigations into the pouch, “Hermione’s body” or at the very least “Hermione’s transfigured body” should fetch it for you no matter what you’ve hidden it as. The pouch isn’t an extra way of hiding something, its a particularly handy way of finding hidden things.
Or rather, it would be foolish to presume he did not—Dumbledore is a seriously powerful wizard, after all.