HalluScoring 2026 Subtask 2.2 (Hallucination Detection & Find the Truth) requires systems to judge whether an Arabic generated answer is hallucinated and to select the correct one among six candidates, without access to the reference answer that would make both judgments trivial. We treat that withheld reference as privileged information: a teacher is fine-tuned with it in the prompt, then never deployed, and its advantage is transferred to a blind student through two channels knowledge distillation over the teacher’s output distribution, and a contrastive privileged-information (CPI) term that aligns the student’s hidden representation with the teacher’s gold-conditioned one. Our fine-tuned ALLaM-7B attains 84.62 combined score (Comb) on the official test set and 83.47 on the dev set.