feat: 오픈 게임 취소와 유산 정산 경로 추가

별도 최고위험 권한으로 실행되는 원자적 취소 작업을 추가한다. 버려진 게임과 장수 기록의 보존·삭제 옵션, 오픈 원금 전액 환급 및 획득 포인트 보전율, 취소 상태와 관리자·과거기록 UI를 함께 반영한다.

app/game-engine/src/turn/inheritancePointCalculation.ts

@@ -1,7 +1,10 @@
-import type { TurnGeneral } from './types.js';
-
 const DEX_LIMIT = 1_275_975;
 
+interface InheritancePointGeneral {
+    meta: Record<string, unknown>;
+    inheritancePoints?: Record<string, number>;
+}
+
 const STORED_INHERITANCE_KEYS = [
     'lived_month',
     'max_domestic_critical',
@@ -31,7 +34,7 @@ const readNumber = (source: Record<string, unknown>, key: string): number => {
     return 0;
 };
 
-const computeDexPoint = (general: TurnGeneral): number => {
+const computeDexPoint = (general: InheritancePointGeneral): number => {
     let totalDexterity = 0;
     for (let index = 1; index <= 5; index += 1) {
         let dexterity = readNumber(general.meta, `dex${index}`);
@@ -44,7 +47,7 @@ const computeDexPoint = (general: TurnGeneral): number => {
     return totalDexterity * 0.001;
 };
 
-const computeBettingPoint = (general: TurnGeneral): number => {
+const computeBettingPoint = (general: InheritancePointGeneral): number => {
     const wins = readNumber(general.meta, 'betwin');
     const gold = readNumber(general.meta, 'betgold');
     const wonGold = readNumber(general.meta, 'betwingold');
@@ -53,7 +56,7 @@ const computeBettingPoint = (general: TurnGeneral): number => {
 };
 
 export const computeActiveInheritancePoint = (
-    general: TurnGeneral,
+    general: InheritancePointGeneral,
     key: MergedInheritanceKey,
     storedOverride?: number
 ): number => {

app/game-engine/src/turn/joinCreateGeneralService.ts

@@ -245,6 +245,23 @@ const setInheritancePoint = async (db: DatabaseClient, userId: string, value: nu
     });
 };
 
+const ensureGameInheritanceBaseline = async (
+    db: DatabaseClient,
+    worldMeta: Record<string, unknown>,
+    userId: string,
+    openingPoint: number
+): Promise<void> => {
+    const serverId = typeof worldMeta.serverId === 'string' ? worldMeta.serverId.trim() : '';
+    if (!serverId) {
+        throw new Error('현재 게임의 serverId가 없어 유산 포인트 원금을 기록할 수 없습니다.');
+    }
+    await db.gameInheritanceBaseline.upsert({
+        where: { serverId_userId: { serverId, userId } },
+        update: {},
+        create: { serverId, userId, openingPoint, source: 'FIRST_ACTIVITY' },
+    });
+};
+
 const appendInheritanceLog = async (
     db: DatabaseClient,
     userId: string,
@@ -583,6 +600,7 @@ export const createGeneralFromJoin = async (options: {
 
     const inheritBonus = validateAndNormalizeBonus(input.inheritBonusStat);
     const inheritConstants = resolveInheritConstants(worldState);
+    const worldMeta = asRecord(worldState.meta);
     const inheritRequiredPoint = calculateInheritanceCost(input, inheritConstants, inheritBonus);
     const currentInheritancePoint = await applyInheritanceUser(
         db,
@@ -590,6 +608,7 @@ export const createGeneralFromJoin = async (options: {
         worldState.currentYear,
         worldState.currentMonth
     );
+    await ensureGameInheritanceBaseline(db, worldMeta, input.userId, currentInheritancePoint);
     if (currentInheritancePoint < inheritRequiredPoint) {
         fail('BAD_REQUEST', '유산 포인트가 부족합니다. 다시 가입해주세요!');
     }
@@ -613,7 +632,6 @@ export const createGeneralFromJoin = async (options: {
             buildJoinCreateGeneralSeed(hiddenSeed, input.seedOwnerIdentity, world.dateToGameTick(acceptedAt))
         )
     );
-    const worldMeta = asRecord(worldState.meta);
     const currentGenius = Math.max(
         0,
         Math.floor(asNumber(worldMeta.genius, asNumber(configConst.defaultMaxGenius, DEFAULT_MAX_GENIUS)))

app/game-engine/src/turn/unificationPersistence.ts

@@ -482,7 +482,7 @@ export const persistUnificationFinalization = async (
 
     await transaction.gameHistory.update({
         where: { serverId },
-        data: { winnerNation: input.winnerNationId, date: input.completedAt },
+        data: { winnerNation: input.winnerNationId, date: input.completedAt, status: 'COMPLETED' },
     });
 
     const nationHistoryRows = await transaction.logEntry.findMany({