Go to the right side of the room at take a look at the photocopier there (zoom). Raise the lid - you will see that it's dirty. Also open the cover on the front and take an empty toner. If you want to copy the map, you will have to find a new one.
Go to the exhibition hall and talk to the director. He will tell you to go to the porter - Antoine. Take a look at the table and try to open the box, but Sylvie will want to ask the conservator for permission first.
Go to the aisle and ask Claire for permission to use her tools. After the conversation, take the line hanging on the side of the Viking boat (left from Claire). Now go to the table with tools and take the cloth, varnish and brush from the box.
Eventually head to the left side of the courtyard and ring to the porter's lodge. Talk with Antoine - if you want to ask him about everything before he leaves for a while, ask about Marcel in the end. This way you will receive a full toner and an advice to use flour as the powder. Once the porter will excuse you for a while, go left and leave the museum.
Once on the cliff, go right and talk to the innkeeper. Ask him for some flour and he'll tell you that he needs water from the well at the courtyard. You will receive a bucket; return to the museum. You will be automatically called by the porter who will give you a container.
Approach the well (zoom) and push the bars covering it. Combine the line with the bucket in the inventory and lower it into the well. Once you have a bucket full of water, go back to the inn. Give it to the owner (or just talk to him) and you will receive the starch.
Go to the museum and into the office upstairs. Approach the photocopier (zoom), raise the top lid and clean the glass with the cloth. Place the map on it and close the lid. Open the front lid and insert the toner. Press the green button and after a while you'll receive a map copy. Open the top lid and take the original map (however Sylvie will do it herself if you forget to). Go to the exhibition hall. Talk to the director and Claire - you will a key.