Maybe the title is talking about her relationship with her mom. It is a story about the things that happened while her mom is away which symbolizes their relationship is rocky or practical over. So it's while she and her mom "broke up", she learns about new things, has character development and learns her mom side of the story and they come to be a happy family in the end because "while we broke up" feels like a phrase that shows they have got back together.
Maybe the title is talking about her relationship with her mom. It is a story about the things that happened while her mom is away which symbolizes their relationship is rocky or practical over. So it's while she and her mom "broke up", she learns about new things, has character development and learns her mom side of the story and they come to be a happy family in the end because "while we broke up" feels like a phrase that shows they have got back together.