refactor: 턴 경계와 12턴 묶음을 보존하는 2배속 복구 구현

packages/infra/prisma/game.prisma

@@ -145,6 +145,7 @@ model TurnDaemonLease {
   ownerId      String   @map("owner_id")
   leaseUntil   DateTime @map("lease_until")
   fencingEpoch BigInt   @default(1) @map("fencing_epoch")
+  clockReady   Boolean  @default(false) @map("clock_ready")
   heartbeatAt  DateTime @default(now()) @map("heartbeat_at")
 
   @@map("turn_daemon_lease")
@@ -160,6 +161,9 @@ model WorldState {
   clockTick          BigInt?   @map("clock_tick")
   clockMode          String    @default("realtime") @map("clock_mode")
   clockWallAnchor    DateTime? @map("clock_wall_anchor")
+  clockRecoveryStartTick BigInt? @map("clock_recovery_start_tick")
+  clockRecoveryEndTick BigInt? @map("clock_recovery_end_tick")
+  clockRecoveryStartWallAt DateTime? @map("clock_recovery_start_wall_at")
   lastTurnTick       BigInt?   @map("last_turn_tick")
   clockPhase         String    @default("RUNNING") @map("clock_phase")
   clockRevision      BigInt    @default(1) @map("clock_revision")

packages/infra/prisma/migrations/20260906090000_add_turn_recovery_window/migration.sql

@@ -0,0 +1,18 @@
+ALTER TABLE "turn_daemon_lease" ADD COLUMN "clock_ready" BOOLEAN NOT NULL DEFAULT FALSE;
+
+ALTER TABLE "world_state"
+    ADD COLUMN "clock_recovery_start_tick" BIGINT,
+    ADD COLUMN "clock_recovery_end_tick" BIGINT,
+    ADD COLUMN "clock_recovery_start_wall_at" TIMESTAMP(3),
+    ADD CONSTRAINT "world_state_turn_recovery_window_check" CHECK (
+        ("clock_recovery_start_tick" IS NULL AND "clock_recovery_end_tick" IS NULL AND "clock_recovery_start_wall_at" IS NULL)
+        OR (
+            "clock_recovery_start_tick" IS NOT NULL AND "clock_recovery_end_tick" IS NOT NULL AND "clock_recovery_start_wall_at" IS NOT NULL
+            AND "clock_recovery_start_tick" BETWEEN -9007199254740991 AND 9007199254740991
+            AND "clock_recovery_end_tick" BETWEEN -9007199254740991 AND 9007199254740991
+            AND "clock_recovery_start_tick" % 36000000 = 0
+            AND "clock_recovery_end_tick" % 36000000 = 0
+            AND "clock_recovery_end_tick" - "clock_recovery_start_tick" BETWEEN 72000000 AND 792000000
+            AND ("clock_recovery_end_tick" - "clock_recovery_start_tick") % 72000000 = 0
+        )
+    );

packages/infra/src/inputEventClock.ts

@@ -1,4 +1,4 @@
-import { GameClock, inferClockPhase, parseGameClockPhase } from '@sammo-ts/common';
+import { GameClock, readTurnRecovery, inferClockPhase, parseGameClockPhase } from '@sammo-ts/common';
 
 import { GamePrisma, type GamePrismaClient } from './gamePrisma.js';
 import { acquireGameSchemaAdvisoryXactLock, CLOCK_OPERATION_PERSISTENCE_LOCK } from './gameSchemaAdvisoryLock.js';
@@ -9,6 +9,21 @@ interface DbWallRow {
     wallNow: Date;
 }
 
+/** 새 daemon의 시계 복구가 끝나기 전에는 독립 worker가 시간을 진행하지 않는다. */
+export const readTurnRuntimeReady = async (
+    db: Pick<GamePrismaClient, '$queryRaw'>,
+    revision: bigint
+): Promise<boolean> => {
+    const [row] = await db.$queryRaw<Array<{ ready: boolean }>>(GamePrisma.sql`
+        SELECT EXISTS (
+            SELECT 1 FROM turn_daemon_lease, world_state
+            WHERE clock_ready = TRUE AND lease_until > timezone('UTC', clock_timestamp())
+              AND clock_revision = ${revision}
+        ) AS ready
+    `);
+    return row?.ready === true;
+};
+
 export interface InputEventClockCoordinate {
     wallAt: Date;
     gameAt: Date;
@@ -38,6 +53,9 @@ export const readInputEventClockCoordinate = async (
             clockTick: true,
             clockMode: true,
             clockWallAnchor: true,
+            clockRecoveryStartTick: true,
+            clockRecoveryEndTick: true,
+            clockRecoveryStartWallAt: true,
             tickSeconds: true,
             clockPhase: true,
             clockRevision: true,
@@ -60,11 +78,17 @@ export const readInputEventClockCoordinate = async (
         tick,
         mode,
         wallAnchor: world.clockWallAnchor,
+        recovery: readTurnRecovery(world),
         turnSeconds: world.tickSeconds,
         phase,
         revision,
     });
-    const observedTick = clock.nowTick(wall.wallNow);
+    const ready =
+        phase !== 'RUNNING' ||
+        mode !== 'realtime' ||
+        world.clockRecoveryStartTick === undefined ||
+        (await readTurnRuntimeReady(db, world.clockRevision));
+    const observedTick = ready ? clock.nowTick(wall.wallNow) : clock.tick;
     return {
         wallAt: wall.wallNow,
         gameAt: clock.tickToDate(observedTick),

packages/infra/src/turnEngineDb.ts

@@ -15,6 +15,9 @@ export interface TurnEngineWorldStateRow {
     clockTick: bigint | null;
     clockMode: string;
     clockWallAnchor: Date | null;
+    clockRecoveryStartTick?: bigint | null;
+    clockRecoveryEndTick?: bigint | null;
+    clockRecoveryStartWallAt?: Date | null;
     lastTurnTick: bigint | null;
     clockPhase: string;
     clockRevision: bigint;
@@ -183,6 +186,9 @@ export interface TurnEngineWorldStateUpdateInput {
     clockTick: bigint;
     clockMode: string;
     clockWallAnchor: Date;
+    clockRecoveryStartTick?: bigint | null;
+    clockRecoveryEndTick?: bigint | null;
+    clockRecoveryStartWallAt?: Date | null;
     lastTurnTick: bigint;
     clockPhase: string;
     clockRevision: bigint;
@@ -200,6 +206,9 @@ export interface TurnEngineWorldStateCreateInput {
     clockTick: bigint;
     clockMode: string;
     clockWallAnchor: Date;
+    clockRecoveryStartTick?: bigint | null;
+    clockRecoveryEndTick?: bigint | null;
+    clockRecoveryStartWallAt?: Date | null;
     lastTurnTick: bigint;
     clockPhase: string;
     clockRevision: bigint;