fix(game-ui): 메인 턴과 장수 상태 표시를 보완

app/game-api/test/generalBasicCardProjection.test.ts

@@ -36,11 +36,12 @@ describe('general basic card Ref projection', () => {
         expect(resolveRefreshScoreText(12_800)).toBe('헐...');
     });
 
-    it('matches the Ref remaining-minute calculation and one-turn rollover', () => {
-        const lastExecuted = new Date('2026-08-13T00:00:00.000Z');
-        expect(resolveRemainingMinutes(new Date('2026-08-13T00:07:06.000Z'), lastExecuted, 3_600)).toBe(7);
-        expect(resolveRemainingMinutes(new Date('2026-08-12T23:59:00.000Z'), lastExecuted, 3_600)).toBe(59);
-        expect(resolveRemainingMinutes(new Date('2026-08-13T00:07:06.000Z'), null, 3_600)).toBeNull();
+    it('matches the Ref remaining-minute calculation against the current game clock', () => {
+        const currentGameTime = new Date('2026-08-13T00:20:00.000Z');
+        expect(resolveRemainingMinutes(new Date('2026-08-13T01:20:00.000Z'), currentGameTime)).toBe(60);
+        expect(resolveRemainingMinutes(new Date('2026-08-13T01:08:59.000Z'), currentGameTime)).toBe(48);
+        expect(resolveRemainingMinutes(new Date('2026-08-13T00:19:00.000Z'), currentGameTime)).toBe(0);
+        expect(resolveRemainingMinutes(new Date('2026-08-13T00:20:00.000Z'), null)).toBeNull();
     });
 
     it('moves the first reserved month only after the general turn bucket has passed', () => {

app/game-api/test/inGameMenuPermissions.test.ts

@@ -85,6 +85,7 @@ const createContext = (options: {
     troopLeaderAction?: string | null;
     refreshScore?: number;
     refreshScoreTotal?: number;
+    gameClockNow?: Date;
     rankRows?: Array<{ generalId?: number; type: string; value: number }>;
     requestId?: string;
     transaction?: ReturnType<typeof vi.fn>;
@@ -164,6 +165,10 @@ const createContext = (options: {
                 currentMonth: 1,
                 tickSeconds: 600,
                 config: { const: { upgradeLimit: 20 } },
+                clockBaseTime: options.gameClockNow ?? null,
+                clockTick: options.gameClockNow ? 0n : null,
+                clockMode: 'manual',
+                clockWallAnchor: options.gameClockNow ?? null,
             })),
         },
         logEntry: {
@@ -485,6 +490,7 @@ describe('in-game my information ownership', () => {
             troopLeaderAction: '휴식',
             refreshScore: 3,
             refreshScoreTotal: 1_141,
+            gameClockNow: new Date('2026-01-01T00:00:00.000Z'),
         });
 
         await expect(appRouter.createCaller(fixture.context).general.me()).resolves.toMatchObject({
@@ -495,7 +501,7 @@ describe('in-game my information ownership', () => {
                 retirementYear: 70,
                 defenceTrain: 80,
                 killTurn: 6,
-                remainingMinutes: null,
+                remainingMinutes: 7,
                 troop: { name: '정밀검증부대', status: 'inactive', leaderCityName: '업' },
                 refreshScore: { current: 3, total: 1_141, text: '열심' },
             },