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/test/gameCancellation.test.ts

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+import { describe, expect, it } from 'vitest';
+
+import { calculateCancelledInheritancePoint } from '../src/scenario/gameCancellation.js';
+
+describe('cancelled game inheritance settlement', () => {
+    it('refunds every spent point and discards earned points at zero percent', () => {
+        expect(
+            calculateCancelledInheritancePoint({
+                openingPoint: 10_000,
+                earnedPoint: 2_345.75,
+                earnedPointRetentionPercent: 0,
+            })
+        ).toEqual({ retainedEarnedPoint: 0, finalPoint: 10_000 });
+    });
+
+    it('retains the selected integer percentage without rounding upward', () => {
+        expect(
+            calculateCancelledInheritancePoint({
+                openingPoint: 10_000,
+                earnedPoint: 333,
+                earnedPointRetentionPercent: 50,
+            })
+        ).toEqual({ retainedEarnedPoint: 166, finalPoint: 10_166 });
+    });
+
+    it('retains all earned points at one hundred percent', () => {
+        expect(
+            calculateCancelledInheritancePoint({
+                openingPoint: 10_000,
+                earnedPoint: 333,
+                earnedPointRetentionPercent: 100,
+            })
+        ).toEqual({ retainedEarnedPoint: 333, finalPoint: 10_333 });
+    });
+
+    it.each([-1, 1.5, 101])('rejects invalid retention percentage %s', (earnedPointRetentionPercent) => {
+        expect(() =>
+            calculateCancelledInheritancePoint({
+                openingPoint: 0,
+                earnedPoint: 0,
+                earnedPointRetentionPercent,
+            })
+        ).toThrow('integer from 0 to 100');
+    });
+});