The Lady Knight and The Three Princes

Three princes in a distant land are waiting for someone willing to take on the specific challenge each of them has set as a condition for marriage. The task is different for each prince, and no one has succeeded yet. You are a lady knight. You have a bear who is loyal to you specifically, and an axe on your belt that has seen use. The princes' challenges are the next thing on the agenda, and you are significantly more prepared for them than the candidates who came before you.