Call this when the user asks about the activity, health, leaderboard, mood, or trends of a specific Telegram group tracked by Limzo. slug is the last part of the group's public page URL, limzo.com/s/ (e.g. "hipo"). Returns the curated limzo.public_stats/v1 JSON: messages, replies, active members, daily series, top members, mood, reactions, language mix, the Limzo Levels ladder (lifetime XP + badge tiers), and weekly-league standings when the group has the league enabled. Optional range: 7d (default), 30d, all — the wider ranges only serve real data for groups on a paid plan and otherwise silently fall back to 7d, so check range.key in the result. Never includes verbatim member messages. For a private group (one with no public t.me handle) the member identities, the group description and member_count are withheld too: aggregates plus an anonymised leaderboard are all it returns.