Mix tape

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Across
  1. 3. India's gift to the world
  2. 5. String instrument
  3. 6. Romantic city
  4. 8. Major film festival
  5. 9. Aliens make these, allegedly
  6. 11. Shakespear's famous political play
  7. 13. The US pulled out from here
  8. 15. Japanese car brand
  9. 17. Dangerous triangle
Down
  1. 1. Salon essential
  2. 2. The climber's dream
  3. 4. Most people are afraid of this
  4. 7. Cayote's nemesis
  5. 10. Water soluble vitamin
  6. 12. South Asian staple
  7. 14. French Leader
  8. 16. The digital nomad's essential