CrUX Fun Puzzle

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Across
  1. 3. City known as the Big Apple
  2. 4. Preposition indicating a topic
  3. 6. First person pronoun and verb indicating existence
  4. 7. Geeky or enthusiastic
Down
  1. 1. Definite article
  2. 2. Puzzle with intersecting words
  3. 5. Periodical for news