I'm Batman

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Across
  1. 2. What am I not wearing?
  2. 4. What's my favorite color
  3. 5. Who's got the sickest ride?
  4. 6. Who's the coolest hero?
Down
  1. 1. Do I pay my taxes?
  2. 3. Who's my worst enemy?
  3. 4. Who am I?
  4. 5. Who can choke hold a bear?