Just an hour after Shin met Vesper and the king, Alicia started her grueling training in the castle backyard, her first mission was to run around the garden to build stamina. Alian's first goal for her was to be able to run at medium speed for ten minutes straight.
The guards who were patrolling the walls couldn't believe their eyes when they saw the princess training in the backyard. It didn't take long after that for them to get informed by one of the maids who was standing on service at the throne that Alicia would be joining a coming military mission.
At that time Shin was already speaking with the first prince about the dragon campaign, making it clear that if he or any of his siblings want to secure the throne, there will be no greater feat than slaying the dragon.