A lap around the world

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Across
  1. 4. — “Unrestrained cleric?” No—think wine & cheese on South William. (def: bar)
  2. 6. — “Georgian wig—pair it with a Periwig for cocktails.”
  3. 7. — “Plenty from Japan” (hint: an izakaya; sounds like ‘many/mori’).
Down
  1. 1. — “3×(lucky digit) serves tacos & margs.”
  2. 2. — “Italian for hands… and for pasta/pizza on Aungier.”
  3. 3. — “Another round, en español.” (lit. ‘one more’ → tapas bar)
  4. 5. — “Botanical name, Asian plates, Wexford St.”