Prerequisites: Max out Lucke's level 2 friendship
Reward: None
Unlocks: Lucke level 3 friendship
By now you've probably heard quite a bit about Lucke's mighty brain, and by continuing to befriend the young man you can push him towards a career in academia. Lucke spends most of his time in or around the Farmhouse in the north of Moonbury, either working behind the counter or out in the yard with the animals. Occasionally he'll wander off to daydream on a bench elsewhere in Moonbury, but for the most part your best bet for finding Lucke is to check the Farmhouse.
Beef up your relationship with Lucke enough and a notice from Mercy will appear on the Bulletin Boards around Moonbury. She's looking for someone who can help Lucke apply for a scholarship in the capital. You're free to stop by the Farmhouse between 12:00 and 20:00, any day of the week, to discuss the prospect. Head there to trigger the cut scene. The trigger is out in the yard, not inside the house.
You'll see Lucke and Mercy arguing over whether or not Lucke should leave the farm and attend school. Lucke will storm off, and in his wake Mercy begs you to talk to him. Track Lucke down and the two of you will have a nice meal where Lucke explains his reasons for not leaving Moonbury. The meal will end with the two of you as better friends, moving your relationship with Lucke up to the third level.