Art Appreciation

Art Appreciation is a miscellaneous quest in Fallout 4.

Detailed walkthrough
Talk with John Hancock in Goodneighbor and ask him for work. He will offer the Sole Survivor a reconnaissance job to scope out Pickman Gallery. For services rendered, he offers a base sum of caps but can be convinced to increase the amount with speech checks.

Go to Pickman Gallery, located northwest of Old North Church. Raiders will be found around the outside and inside of the gallery, all looking for Pickman. Fight through them to the room immediately left of the entrance. Take the holotape titled "Message to Jack" off of a dead raider in the middle of the room, which is all Hancock will need. Exploring the rest of the gallery and killing the raiders is optional.

Return to Hancock and speak to him, initiating related dialogue where he learns what he wanted to and is pleased with the player character's work. He will then reward a number of caps dependent on how many or if any speech checks were passed.

Bugs

 * This quest will become inaccessible if the player has already completed The Big Dig and gained Hancock as a companion.
 * On PC it can be force started by using the command, although this may not work. However, Hancock will express dislike at having to go with the player upon their return, regardless of whether he did or not. This method also means the player cannot earn the potential 400 caps reward since the speech checks are removed with the quest once Hancock has become a companion. The quest becomes available again after completing the quest Trouble Brewin', even if Hancock is the current companion, and all speech checks will be available.
 * On PC a better way to solve this problem is:
 * Move both Hancock and your character to Goodneighbor, dismiss him if he is a current follower.
 * Run command to set Hancock to the default non-companion state.
 * Hancock should now have the dialogue option to start this quest. Finish this quest normally.
 * Run command to add Hancock back to available companions.