Holiday everything

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Across
  1. 2. Month of Christmas
  2. 4. Precipitation associated with Christmas
  3. 5. Protag. from "Nightmare Before Christmas"
  4. 7. Word pronounced weirdly by singer Cabello while performing at the White House
  5. 10. Christmas ____
  6. 12. Pulls Santa's chariot
  7. 13. Under the tree
Down
  1. 1. Holiday song by a Kpop BBand
  2. 3. Zodiac of Christmas
  3. 6. Season of Christmas
  4. 8. Plant associated with Jesus's crown of thorns
  5. 9. December 31st to Jesus
  6. 11. Santa's little helpers