feat(teams): the reconciler, its four refusal gates, and ctx.teams (API 1.6.0)

Core's projection of the module's Teams, kept in step (docs/website/TEAMS.md
§2.4), plus the two ctx members a module pushes through.

The four gates are the file, and each is invariant 1 in a different costume --
module unavailability is staleness, never emptiness:

  1. getTeams() not ok           -> record the failure, touch NOTHING, return.
  2. ok but empty, core holds >=1 -> quarantine; apply only if the NEXT
                                    authoritative answer, an interval later,
                                    agrees.
  3. getTeamMembers() not ok      -> that Team's roster untouched and stale; the
                                    other Teams sync normally.
  4. ok but zero members, had some -> the same two-strikes quarantine, per Team.

Gates 2 and 4 exist because an authoritative-looking empty answer during a cold
start is the one failure indistinguishable from a real wipe. "Every Team on the
shard disbanded at once" costs one interval to confirm; getting it wrong empties
every roster on the site.

Events are an optimisation, never the source of truth. Member and leadership
deltas apply at once for a Team core already knows; team.created and
team.disbanded only ask for a run. §2.2 scopes archival to an authoritative full
list, so a repeated or spurious disband event costs a reconcile rather than a
Team -- and a Team invented from a delta would have no name, no roster and no
leaders anyway.

Two columns TEAMS.md did not contemplate, both on `teams`:

  - roster_synced_at, because team_sync_state holds one row per MODULE and gate 3
    leaves ONE Team behind while the others sync. Without a per-Team stamp that
    Team's page would report the module's last success as its own -- exactly the
    staleness the gate exists to surface.

  - members_empty_since, gate 4's per-Team quarantine. The twin of
    team_sync_state.pending_empty_since, which is per module and cannot express it.

One real bug found by its own test. The roster upsert was writing is_leader, so a
refused getTeamLeaders() left every member demoted -- the roster had already
written `leader: false` before the authoritative call was even made. §2.5 is
explicit that path 2 is answered by getTeamLeaders(), so is_leader is now set on
INSERT only (seeding a Team so it is not leaderless while that call fails) and
moved afterwards by setLeaders() alone. Two writers for one column was the whole
defect.

MODULE_API_VERSION 1.6.0 on both halves -- they state one contract and a module
declares one coreApi range. The number covers the whole Team surface per Part 11;
the members arrive by phase. registerTeamProvider, ctx.teams.publish and
ctx.teams.reconcile are live. ctx.teams.activity.push (§4, phase 3) and
api.registerSlashCommands (§7.1, phase 7) are present and THROW with a sentence
naming their phase, rather than being absent or silently accepting data into
tables that do not exist yet.

39 tests here, and the ctx surface guard in moduleLoader.test.js updated -- it
caught the addition, which is what it is for. Server 809 passed, client 192
passed, 0 failed.

Refs docs/website/TEAMS.md §2.2, §2.3, §2.4, Part 11, Part 12 phase 2

Co-Authored-By: Claude <noreply@anthropic.com>

server/src/modules/lifecycle.js

@@ -170,6 +170,15 @@ async function boot({ modules, model } = {}) {
       })
     }
   }
+
+  // The Team reconciler's boot trigger (TEAMS.md §2.4), last — after every module
+  // has started, because the provider is registered by a module and a module that
+  // warms a cache in onBoot must be allowed to finish before it is asked anything.
+  //
+  // `safe` for the same reason every step above uses it: an unreachable provider
+  // is a stale projection, never a site that will not start.
+  // eslint-disable-next-line global-require
+  await safe('starting the team reconciler', () => require('../model/teams/teamSync.model').start())
 }
 
 /** Reject if `fn`'s promise has not settled within `ms`. */