It could be called a 'nested story' or an 'embedded story'.
You could call it 'The Nested Tale'. It gives the sense of one story being inside another, and then another, like nested objects.
Try 'The Veiled Narratives'. The word 'veiled' gives a sense of mystery, as if the inner stories are hidden behind a curtain that needs to be lifted.", "Answer2":: "One option could be 'The Cryptic Layers of Stories'. 'Cryptic' makes it seem mysterious, and 'layers' clearly indicates the multiple levels of stories within stories.
A common literary name for a story within a story is 'a frame story' or 'a nested story'.
In some cases, it's possible to add another story map within a story map. However, you need to consider factors like the complexity of the project, the clarity of the structure, and how it aligns with your overall storytelling goals. Sometimes, it might make the story map overly complicated and less effective.
A yarn can also be another name for a story. This term is often used in a more informal or folksy way. People might say 'spin a yarn' which means to tell a story, usually one that is interesting or perhaps a little exaggerated.
Another term for an initiation story could be a 'rite of passage story'. These often involve a character facing challenges or experiences that mark a significant change in their life and development.
Another name for it is the 'prologue'. Usually, it sets the stage and gives some background for the main story to unfold. Also, it might be referred to as the 'preface' in some cases.