Word about Kai; clue about the slot’s word that rhymes with the former

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Across
  1. 2. The _ killer; has a bunch of stripes
  2. 6. Major initialism; accept without protest
  3. 8. From this area; horses
  4. 10. Gorks at; rubber
  5. 11. Freebie; freebie
  6. 12. The other Kai; blood
Down
  1. 1. Employment program; library in Korea
  2. 3. Racial status; seasoning
  3. 4. 2021-2025; what cops do
  4. 5. Lives with; theft targeting
  5. 7. Lives right by one; global oil sales
  6. 9. Love letters to the; taboo