Hogwarts wizards who signed in to Middle-earth

It's the year 1340 of the Shire Calendar, a year before the Lonely Mountain Fellowship departs. The Grey Wizard has yet to visit the Shire, the Dwarf King is still forging iron in the Blue Mountains, and the dragon still slumbers within the mountains...
This year, a young wizard accidentally traveled to Middle-earth with the Hogwarts sign-in system.
Overnight, Hogwarts Castle rose from the ground, standing majestically in Middle-earth; the flying brooms cut through the sky, becoming a unique landscape.
In the wilderness, the legend of the black-robed wizard spread quietly. He was the friend of elves, the nemesis of orcs, the nightmare of trolls, and the lifelong enemy of the devil Sauron.
Many years later, when the Demon King was destroyed, the elves moved westward, and the human era began, Duir, who had already signed in to various parts of Middle-earth, turned his eyes to the fairyland in the west.
[Locate Aman Island, do you want to sign in? ]