After completing the bell puzzle in the room next to the library. Make your way through the painting of Lady Dimitrescu and keep going on ahead. Climb the ladder at the end and read the map that you can find near the table. After his go back to the painting and take the stairs to the left. You will come across a door on your right, take it and go down to reach the Main Hall.
Go to the Kitchen through the dining room and take the staircase down. Go through the open door while dealing with the enemies that come at you. As soon you move on, you come across a locked gate. Take out your Iron Insignia key and use it here.
Once you are inside, go to the right and pick up the Pipe Bomb. Use this on the wall on the left that looks cracked. Shoot the brazier into the torch here to light it up. Shoot both braziers into each other so that the spikes surrounding the coffin go down. Make your way to the coffin and interact with it. You will acquire the Azure Eye treasure, which you can combine with Silver Ring to make Azure Eye Ring. You can sell this to Duke Merchant for a lot of Lei.
This is how you can get the Azure Eye in Resident Evil Village. If you are interested in learning more you can check out our guide on how you can get the Madalina Doll Head.