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Although Miku found the Wonderland Sekai to sometimes be overstimulating, there was one downside to having that Sekai's Luka come over to visit instead: how easier it was for her to slip into a nap. Not like her own energetic Sekai kept her awake, but the lack of anything to do in the Empty Sekai besides Cat's Cradle certainly made the problem worse.
Case in point: as Miku was showing Wonder!Luka a new Cat's Cradle trick that her own Empty!Luka had taught her, she suddenly felt a bump on her shoulder. Looking over, she found Luka had slumped over until the side of her head hit Miku's shoulder. Her head continued to sway, warning that a further fall was imminent.
"I've got you," Miku murmured, as she put down the string before gently grasping Luka's head and bringing her down to her lap.
Momentarily, Luka blinked and yawned, having been stirred awake. Yet she made no motion to move and instead said after the yawn:
"Ah. Thank you. This is a lot more comfy..."
In the next moment, her breaths went steady in the rhythm of sleep once again. Miku carefully leaned over to reclaim her string, then went back to Cat's Cradle, suddenly feeling inspired to try and form a sheep or ram type of animal.