During my time at Hogwarts’ correspondence school I trained using three different wands modeled after the magical sticks wielded by Harry Potter, Dumbledore ... the wand’s light-up buttons ...

So how did the wand end up in the possession of Hogwarts School of Witchcraft and Wizardry's headmaster Albus Dumbledore (played by Richard Harris and Michael Gambon after the former actor passed ...