fix: 가오픈 동안 서버 게임 시계를 정지한다

정식 오픈 시각을 게임 시계 anchor로 전달하고, API가 실제 진행 상태와 시작 경계를 반환하게 한다. 프론트는 추가 조회 없이 경계에서 자동으로 시계를 시작한다.

app/gateway-api/src/orchestrator/gatewayOrchestrator.ts

@@ -396,6 +396,7 @@ const parseInstallOptions = (
         joinMode: joinMode === 'full' || joinMode === 'onlyRandom' ? joinMode : undefined,
         autorunUser: autorunUser ?? null,
         preopenAt: preopenAt ?? null,
+        openAt: openAt ?? null,
         installOperationId: action.installOperationId,
     };
 
@@ -2173,6 +2174,7 @@ export class GatewayOrchestrator implements GatewayOrchestratorHandle {
                         ? {
                               ...options.installOptions,
                               preopenAt: options.installOptions.preopenAt?.toISOString() ?? null,
+                              openAt: options.installOptions.openAt?.toISOString() ?? null,
                           }
                         : undefined,
                     adminUser: options.adminUser,

app/gateway-api/src/orchestrator/profileSeedCli.ts

@@ -9,7 +9,10 @@ interface ProfileSeedRequest {
     scenarioId: number;
     tickSeconds?: number;
     now: string;
-    installOptions?: Omit<ScenarioInstallOptions, 'preopenAt'> & { preopenAt?: string | null };
+    installOptions?: Omit<ScenarioInstallOptions, 'preopenAt' | 'openAt'> & {
+        preopenAt?: string | null;
+        openAt?: string | null;
+    };
     adminUser?: AdminSeedUser | null;
 }
 
@@ -49,6 +52,11 @@ export const runProfileSeedCli = async (env: NodeJS.ProcessEnv = process.env): P
     if (preopenAt && Number.isNaN(preopenAt.getTime())) {
         throw new Error('Profile seed preopenAt must be an ISO date-time.');
     }
+    const rawOpenAt = request.installOptions?.openAt;
+    const openAt = typeof rawOpenAt === 'string' ? new Date(rawOpenAt) : null;
+    if (openAt && Number.isNaN(openAt.getTime())) {
+        throw new Error('Profile seed openAt must be an ISO date-time.');
+    }
     const resourceRoot = path.join(process.cwd(), 'resources');
 
     await seedProfileDatabase({
@@ -61,6 +69,7 @@ export const runProfileSeedCli = async (env: NodeJS.ProcessEnv = process.env): P
             ? {
                   ...request.installOptions,
                   preopenAt,
+                  openAt,
               }
             : undefined,
         scenarioOptions: { scenarioRoot: path.join(resourceRoot, 'scenario') },