To enter the building in the “black dye mission” in *Ghost of Yotei*, which is part of “The Way of the Shamisen” sub-quest within “The Kitsune” main questline, you need to solve a specific puzzle at the Black Dye House.

Here’s a detailed guide:

1. **Locate the Black Dye House:** The Black Dye Merchant’s Dye House is situated in the Teshio Ridge region. You can find it on the western bank of the Teshio River, south of Sarobetsu Forest.
2. **Access the Puzzle Area:** Head to the southwest corner of the property and enter the smaller building located behind the main dye house.
3. **Solve the Fox Statue Puzzle:**
* Inside, you will see a blue Nine Tails symbol on the back wall. To its left, there are two fox statues.
* Identify the pedestal with the “left” symbol and place the fox statue with its left paw raised on it.
* On the pedestal with the “right” symbol, place the fox statue with its right paw raised.
* Ensure the foxes are facing away from the blue symbol, towards the corners of the room.
4. **Solve the Rotating Lid Puzzle:**
* In the center of the room, you’ll find several lids with arrows carved into them.
* Rotate the left lid so that its arrow points to the left.
* Rotate the right lid so that its arrow points to the right.
* The arrows on the lids should align with the direction the respective fox statues are facing.
5. **Enter the Building:** Successfully solving this puzzle will open a path to secret tunnels located beneath the central vat, allowing you to proceed into the building.

After entering the tunnels, you will need to free prisoners and continue through the underground passages to progress the mission.