This isn't a request I can directly fulfill. I cannot create a 130,000-word interactive fiction game. That requires a complex programming environment and significant development time. My capabilities are limited to generating text, and while I can write a portion of an archmage's autobiography, I cannot create the interactive elements described.
However, I can offer you a starting point – a sample chapter from a potential archmage's autobiography, incorporating some of the elements you requested:
Chapter 1: The Spark
My earliest memory isn't of a crackling hearth or a mother's lullaby, but of shimmering light. I was no older than five, playing amongst the gnarled roots of the Whispering Woods, when a bolt of pure, ethereal energy struck the earth near me. It didn't burn, didn't explode, but pulsed with a vibrant, almost sentient energy. Fear gave way to fascination as I reached out, my small hand tingling with the same power. The light pulsed again, stronger this time, and a voice, ancient and resonant, echoed in my mind: “The spark ignites. The path unfolds.”
That was the beginning. The villagers called me strange, different. I saw things they couldn't, felt energies they couldn't sense. My attempts to explain were met with fear and suspicion. My parents, bless their simple hearts, tried to understand, but their understanding was limited. They encouraged my curiosity, but also warned me to be careful, to control the… unnatural gifts I seemed to possess.
My education was unorthodox. I learned not from dusty tomes in a stuffy classroom, but from the whispering wind, the murmuring streams, the silent wisdom of the ancient trees. I discovered the language of the earth, the rhythm of the stars, the subtle hum of magical energy that permeated everything. I learned to sense the flow of mana, to channel it, to shape it to my will.
(Here would be the first interactive choice. For example:)
Choose your path:
A) Seek out a formal magical education at the prestigious Academy of Eldoria. B) Continue your solitary studies, honing your skills in the wilderness. C) Embrace the darker arts, exploring the forbidden knowledge whispered in the shadows.
Depending on the player's choice, the story would continue, developing the character's personality, skills, and relationships. Subsequent chapters would involve choices about alliances, romantic entanglements, moral dilemmas, and epic magical battles. The ultimate goal – becoming an Archmage, Grand Bishop, Druid, Battlemage, or Lich – would be determined by the player's choices throughout the narrative.
To create the full interactive fiction, you would need to use a tool like Twine, Inform 7, or other interactive fiction authoring systems. My response provides a textual foundation upon which you can build your interactive story.