Examine the logical coherence between the following administrative scenarios and constitutional rights:
1. Evidence 1: Article 29 explicitly grants cultural protection rights to both religious and linguistic minorities. Inference 1: This ensures comprehensive safeguarding of diverse minority identities across the nation.
2. Evidence 2: Article 30 grants minorities the right to establish and administer educational institutions of their choice. Inference 2: Therefore, these institutions possess absolute autonomy and are completely exempt from municipal taxation and state labor laws.
3. Evidence 3: The Supreme Court asserts that the right to administer is not the right to maladminister. Inference 3: Consequently, the state can prescribe regulations to ensure academic excellence and proper sanitation within minority institutions.