I don't know if this has been asked before, but why did you decide to name it 2 headed boy?
Oh cool question :)
It's in reference to the poster boy of the game (the "yandere"), Kage, for a few reasons. To describe the duality of his nature (he has sort of "Jekyl/Hyde" mood shifts) and how he tends to "split" on the player throughout interactions.
He often sees the player in extremes of all good or all bad, and feels things very intensely (though the "all bad" moments are more temporary unless you're really relentless with building his toxicity and anxiety stats).
He's "of two minds," when it comes to how he thinks the player feels about him, which is a consistent source of his anxiety that can be mitigated with varying degrees of success by the player (or made worse).
And then finally, it's also the name of 2 songs by Neutral Milk Hotel, 2 Headed Boy parts 1 and 2, and I think the lyrics of both songs also really fit his overall vibe. Especially part 2