The Adventurer's Guide to Successful Escapes by Wade Albert White

I really enjoyed the world-building in this book, where orphans can't become adventurers if they have no last name (like Anvil, "Anne") or if their families are notorious (like her friend Penelope Shatterblade). But that doesn't stop Anne from applying to as many adventurer schools as possible. She's pretty much given up hope that she'll be taken before she's kicked out of the orphanage on her thirteenth birthday. Or will she? At the last moment, Anne is informed that the train will be leaving before midnight on the day before Anne's birthday rather than 10 minutes into it, which means that Anne has to stay at the orphanage for another year. But Anne has different plans. And the world has different plans for her as, while she is walking the matron's fire lizard "Dog," a woman appears and tells Anne she has been accepted into a school.
This book is all sorts of crazy sauce -- in the very best way. Just when you think you've figured out the zigs, the book zags. For instance, the headmistress of the Death Mountain Quest Academy is Her Royal Highness Princess Fluffington Whiskers of the Mousetrapper Clan. In short, a cat. There are dragons whose fireballs help aid travel, a book that becomes whatever it needs to be, and a main character who is not only female, she has dark brown skin. A fact that is only mentioned once and then briefly.