Add administrative room close and reopen controls

Preserve readable private tables, discussion and pending games while closure blocks new play, joins, messages, AI and seat mutations. Add live-authorized atomic closure audits, room-version/revision fences, dedicated controls and exact saved retries. Reopen with the saved pause/join settings and current credentials; restoring a removed but closed room keeps its AI stopped.

Verified types, lint, 5356 offline tests, 52 HTTP tests and build. Seventeen dedicated authenticated HTTP groups and independent privacy/persistence review passed. Desktop/mobile browser QA confirmed one close after a lost response and refresh, persistent readable notices, retained private draft, mobile reopening and saved-seat refresh. All 2,001 baseline rooms, 4,243 seats and related records preserved. Positive production admin acceptance awaits authorized QA access; full admin and rules gates remain open.

db/admin-removal.ts

@@ -11,13 +11,14 @@ const authority = `SELECT a.role FROM admin_sessions s JOIN admin_accounts a ON
   AND s.expires_at > ? AND s.generation = a.session_generation
   AND a.role IN ('owner','operator','viewer')`;
 const mutationAuthority = authority + " AND a.role IN ('owner','operator')";
-const roomSelect = `SELECT r.code,r.version,COALESCE(m.removed,0) AS removed,
+const roomSelect = `SELECT r.code,r.version,EXISTS (SELECT 1 FROM room_closures WHERE room_code = r.code AND closed = 1) AS closed,COALESCE(m.removed,0) AS removed,
   COALESCE(m.revision,0) AS revision,m.removed_at,m.updated_at,
   COALESCE(c.paused,0) AS paused,COALESCE(c.join_locked,0) AS join_locked
   FROM rooms r LEFT JOIN room_removals m ON m.room_code = r.code
   LEFT JOIN room_controls c ON c.room_code = r.code
   WHERE r.code = ? AND EXISTS (${authority})`;
 type Row = {
+  closed: number;
   code: string;
   version: number;
   removed: number;
@@ -37,6 +38,7 @@ type Receipt = {
 };
 const project = (row: Row): AdminRemovalView => ({
   code: row.code,
+  ...(row.closed === 1 ? { closed: true as const } : {}),
   version: row.version,
   removed: row.removed === 1,
   revision: row.revision,
@@ -160,7 +162,7 @@ export async function applyAdminRemoval(
     // Removing never parses or changes JSON. Restore tolerates malformed saved state.
     database
       .prepare(`UPDATE rooms SET version = version + 1,
-      state = CASE WHEN ? = 0 AND NOT EXISTS (
+      state = CASE WHEN ? = 0 AND NOT EXISTS (SELECT 1 FROM room_closures WHERE room_code = rooms.code AND closed = 1) AND NOT EXISTS (
         SELECT 1 FROM room_controls WHERE room_code = rooms.code AND paused = 1
       ) THEN CASE WHEN json_valid(state) THEN CASE WHEN
         json_extract(state, '$.status') IN ('setup','playing') AND