feat: port pre-start general deletion lifecycle

app/game-api/test/selectPool.integration.test.ts

@@ -209,6 +209,14 @@ integration('scenario 903 select pool through the durable turn daemon', () => {
 
         const initial = await db.general.findFirstOrThrow({ where: { userId } });
         const initialRuntime = runtime!.world.getGeneralById(initial.id);
+        const initialAccess = await db.generalAccessLog.findUniqueOrThrow({ where: { generalId: initial.id } });
+        if (!initialAccess.lastRefresh) {
+            throw new Error('selected general must have an initial access timestamp');
+        }
+        expect(
+            new Date((initial.meta as Record<string, unknown>).prestart_delete_after as string).getTime() -
+                initialAccess.lastRefresh.getTime()
+        ).toBe(2 * 5 * 60 * 1_000);
         expect(initialRuntime).toMatchObject({
             id: initial.id,
             userId,