The Mechanical dance is the humanoid machine form that Olivia assumes when in her moonscorched state. Instead of legs, her form features a massive vent system, while her hands take on the shape of two blade-like appendages. Her turning animation suggests her wheelchair is fused to her as part of this state. Despite the power and strength conveyed by her new form, the Mechanical dance appears visibly distressed, weeping and lamenting that she has "been this way forever." This might moreso be a manifestation of her jealous fear of living in the shadow of her sister, Reila, as it is notable she felt this way even in her childhood, this being reinforced by the fact Olivia has the shadowed soul, as opposed to Reila's Radiating soul. The form may reflect Olivia's anxiety about being confined to a wheelchair and facing an indefinite future limited by her physical condition, as she fears that others will perceive her solely through the lens of her disability, rather than recognizing her for who she truly is.
Warning! Speculation ahead!
Information below is hinted on, but wasn't directly confirmed in-game.
It is possible the Mechanical Dance gravitated towards the Museum due to its close proximity to Logic. The mechanised nature of the Mechanical Dance may dually be in part due to the influence of Logic, the Machine God, as Olivia has strong ties to Reila. Logic has been shown to be able to interfere with the workings of Rher, so it may be possible that she is capable of tainting the moonscorched forms of the contestants.
Daan: “This is beyond my expertise. I think we'd need an engineer for this job.” Abella: “... Don't look at me! I have no idea what is happening in this place!”
