Tool contract 3.14.0

The fourteen verified defects of the interface review (docs/reviews/2026-09-19-INTERFACE-REVIEW.md), Phase 1.

• war_history with season_id and section_index answers the whole week's roster (up to 60 member_weeks) in one pass instead of timing out the Lambda; it is under the analytical query budget, and every read-only tool now races the Lambda's own deadline, so a call that would have died as a bare HTTP 500 answers query_timeout with meta.request_id and an audit row.
• war_current.next_war_day_opens_at (top level and in period) is the next war day to open after the current period on war days too, equal to game_clock's at the same instant; it was null on every war day.
• war_history.history_starts_at is the oldest war week the record holds for the clan whatever window was asked for (it was the window's own oldest row).
• battles_query rows carry arena_id beside arena (the name; the docs said id), null on a row the 0131 backfill never reached.
• clans_standings ranked members carry percentile (1 - (rank - 1) / ranked_members, the formula the note always stated).
• players_profile.snapshot.lifetime carries the snake_case keys (battle_count, three_crown_wins, star_points, exp_points, collection_level) beside the camelCase ones with equal values: one lifetime shape with clans_roster and players_timeline; the camelCase set is retired at 4.0.0.
• A live_pending refusal carries error.retry_after_s as an integer beside the hint (a consumer regexed the seconds out of the English).
• clans_timeline's members_seen note says the count includes members who left that day and can read above members.
• meta.completeness_note fires: on a player subject whose window ends inside the last seven days, when the newest profile interval (the two latest profile polls and the recorded battles between them) reads under 0.9, or is not comparable with more than 48 hours since the last profile poll; it names the counts and points at elixir_coverage. It was promised by the instructions and the docs and set by nothing.
• rankings_timeline's description says one snapshot a day since the afternoon of 2026-09-11 (that day holds sixteen).
• Six descriptions over the 600-character convention (elixir_timeline, players_timeline, clans_roster, war_current, clans_participation, battles_query) are trimmed to what they are, their default, what compact drops and the one caveat; what moved is on the docs page each tool's docs pointer names, and the registry test now holds the line at 600.
• elixir_coverage.completeness_last_7_days.average_ratio is documented as the string it is (three decimals) until 4.0.0 makes it a number.

Additive.