During the Battle of Helms Deep, lets replace the orcs with the White Walkers and wights from the Battle of Winterfell (Game of Thrones). The defenders of Helms Deep are the characters we see in The Two Towers and let's say they have the requisite arrows tipped with dragon glass and dragon glass swords. The White Walker army consists of 100,000 wights, 12 White Walkers, 3 giants plus one undead dragon and the Night King. The undead dragon doesn't show up until 4 hours into the siege. How does the battle go?