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.

tools/verify-admin.mjs

@@ -8,6 +8,7 @@ import { fileURLToPath } from 'node:url';
 import { verifyRoomLifecycle } from './admin-lifecycle-verification.mjs';
 import { verifyRoomCreation } from './admin-creation-verification.mjs';
 import { verifyLobbyConfiguration } from './admin-lobby-verification.mjs';
+import { verifyRoomClosure } from './admin-closure-verification.mjs';
 import { verifyRoomRemoval } from './admin-removal-verification.mjs';
 
 const options = {};
@@ -33,7 +34,7 @@ async function request(path, body, cookie, origin = base, expectedAdminId = admi
   const response = await fetch(base + path, {
     method: body === undefined ? 'GET' : 'POST',
     headers: { ...(body === undefined ? {} : { 'content-type': 'application/json', origin }), ...(cookie ? { cookie } : {}),
-      ...(expectedAdminId && (path === '/api/admin/rooms' && body !== undefined || /^\/api\/admin\/rooms\/[^/]+\/(control|lobby|removal)$/.test(path)) ? { 'X-Dune-Admin-Id': expectedAdminId } : {}) },
+      ...(expectedAdminId && (path === '/api/admin/rooms' && body !== undefined || /^\/api\/admin\/rooms\/[^/]+\/(control|lobby|removal|closure)$/.test(path)) ? { 'X-Dune-Admin-Id': expectedAdminId } : {}) },
     ...(body === undefined ? {} : { body: JSON.stringify(body) }), signal: AbortSignal.timeout(15000),
   });
   report.lastRequest = { path, status: response.status };
@@ -89,6 +90,7 @@ try {
     await verifyRoomCreation(request, session1, report);
     await verifyLobbyConfiguration(request, session1, report);
     await verifyRoomRemoval(request, session1, report);
+    await verifyRoomClosure(request, session1, report);
   }
   report.passed = true;
 } catch (error) {