At specific points throughout this dungeon, the Lesser Wyvern will fly straight down and use Blazing Trail, dealing ~600-700 damage to everyone in front of him. Whenever you find a spot where the wyvern is coming down, try to fight in a side room to avoid the breath.
Clearing this dungeon will reward 20 Allagan Tomestones of Philosophy.
Mechanically, Chudo-Yudo is a simple fight, but Swinge can be brutal if you get hit too much. Face the boss away so only the tank eats Lion's Breath. I believe it's actually possible, if the tank is quick, to run through the boss and avoid Lion's Breath themselves. Everyone else should stand somewhere in the middle of the room. Every so often, Chudo-Yudo will run to one of the walls and charge up Swinge on a random player. Everyone should follow him to the wall and then stand on either side of him to avoid the frontal blast.
When Chudo-Yudo drops below 50%, he will start to cast Swinge twice in a row. At this point, after you avoid his first Swinge, be ready to move quickly again, as he will face a random player and attempt it again.
This boss drops 2 Allagan Tomestones of Philosophy.
Koshchei should be tanked in one of the front corners, preventing Collapse and Blazing Trail from ever hitting anyone other than the tank. This positioning also gives the group the most flexibility with positioning the tornados spawned from the Typhoon ability. Multiple tornados can be up at once, so try to place them along the edges of the room to leave space to move.
At this point, you may notice the cannons lining the far wall. Isgebind will occasionally appear in front of one of these cannons and start casting Snowfall on the group until the cannon pointed at it is fired. From what I can tell, you will always take one Snowfall unless you are extremely fast. However, you shouldn't stand near the cannons until Isgebind is ready to be shot, as you will cover the area in Tornados, making it impossible to shoot the cannon without nearly killing yourself.
This boss drops 3 Allagan Tomestones of Philosophy.
As with the previous bosses, Isgebind uses a frontal and should be faced away from the group. I recommend tanking her in one of the corners to keep the center of the room clear of patches of ice. Isgebind will cast Sheet of Ice on a random party member, placing a ground indicator below them. Try to place these closer to the walls and not out in the middle. She will also cast Rime Wreath, which will deal damage to all party members. By itself, this damage is not bad. However, if you get hit by Sheet of Ice just before this cast, you could be killed.
Throughout the fight, Isgebind will take flight, light up a third of the room with a blue glow, and then frost breath the entire section a few seconds later. This is why we want to keep the middle clear. While you don't want to be standing in the dead center, standing in one of these spots will give you the best chance at avoiding Cauterize. After Cauterize is cast, Isgebind will land on top of the tank, casting Touchdown. Melee DPS should wait for this before running back in.
When Isgebind takes flight while below 50% HP, she will fire off two volleys of Sheet of Ice on every player. Ideally, you'll drop these near the walls to keep the center clear. If some do end up in the middle, it's better to run through this effect than get hit by Cauterize.
This boss drops 15 Allagan Tomestones of Philosophy.