fix: 이민족 첫 턴을 정지 시각에 맞춤

통일 대기 중 실시간 투영 시각이 새 이민족 첫 턴으로 새던 경로를 정지된 월 경계로 교정한다. 잘못 추가한 NPC 포상 비용 100배 변경도 되돌린다.

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

@@ -290,7 +290,10 @@ const respondToRaiseInvader = async (options: {
             month: state.currentMonth,
             startyear: asNumber(state.meta.startYear, state.currentYear),
             currentEventID: 0,
-            turnTime: now,
+            // Ref uses the frozen game_env.turntime while unification is paused.
+            // `now` is the realtime game projection and can be hours ahead after
+            // a long response wait, delaying every newly summoned invader turn.
+            turnTime: state.lastTurnTime,
         },
         event
     );

app/game-engine/src/turn/ai/policies.ts

@@ -314,10 +314,9 @@ export class AutorunNationPolicy {
         const stat = scenarioConfig.stat;
         if (this.reqNpcWarGold === 0 || this.reqNpcWarRice === 0) {
             const crewType = findCrewTypeById(unitSet, env.defaultCrewTypeId);
-            // Ref costWithTech() receives a troop count, not a leadership value.
-            // The policy funds four complete recruitments at the NPC stat cap.
-            const baseGold = crewType ? crewType.cost * getTechCost(tech, env.maxTechLevel) * stat.npcMax * 100 : 0;
-            const baseRice = crewType ? crewType.rice * getTechCost(tech, env.maxTechLevel) * stat.npcMax * 100 : 0;
+            // Ref costWithTech(tech, stat * 100) divides the troop count by 100.
+            const baseGold = crewType ? crewType.cost * getTechCost(tech, env.maxTechLevel) * stat.npcMax : 0;
+            const baseRice = crewType ? crewType.rice * getTechCost(tech, env.maxTechLevel) * stat.npcMax : 0;
             if (this.reqNpcWarGold === 0) {
                 this.reqNpcWarGold = roundTo(baseGold * 4, -2);
             }
@@ -328,8 +327,8 @@ export class AutorunNationPolicy {
 
         if (this.reqHumanWarUrgentGold === 0 || this.reqHumanWarUrgentRice === 0) {
             const crewType = findCrewTypeById(unitSet, env.defaultCrewTypeId);
-            const baseGold = crewType ? crewType.cost * getTechCost(tech, env.maxTechLevel) * stat.max * 100 : 0;
-            const baseRice = crewType ? crewType.rice * getTechCost(tech, env.maxTechLevel) * stat.max * 100 : 0;
+            const baseGold = crewType ? crewType.cost * getTechCost(tech, env.maxTechLevel) * stat.max : 0;
+            const baseRice = crewType ? crewType.rice * getTechCost(tech, env.maxTechLevel) * stat.max : 0;
             if (this.reqHumanWarUrgentGold === 0) {
                 this.reqHumanWarUrgentGold = roundTo(baseGold * 6, -2);
             }

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

@@ -157,6 +157,7 @@ export const createRaiseInvaderHandler = (options: {
 
         world.updateWorldMeta({ isunited: 1, isUnited: 1 });
         const totalGeneralCount = npcEachCount * invaderCities.length + world.listGenerals().length;
+        let creationTurnBase = environment.turnTime;
         const maxGeneralsPerMinute =
             options.maxGeneralsPerMinute ?? readNumber(world.getState().meta.maxGeneralsPerMinute, 1_000);
         const currentTurnMinutes = world.getState().tickSeconds / 60;
@@ -166,6 +167,11 @@ export const createRaiseInvaderHandler = (options: {
             );
             if (nextTerm !== undefined) {
                 world.changeTurnTerm(nextTerm);
+                // Reprojection preserves the frozen monthly boundary by tick but
+                // changes its displayed Date. New generals must join that frozen
+                // boundary, not the realtime game clock that kept advancing while
+                // unification was waiting for a message response.
+                creationTurnBase = world.getState().lastTurnTime;
                 world.pushLog({
                     scope: LogScope.SYSTEM,
                     category: LogCategory.HISTORY,
@@ -348,7 +354,7 @@ export const createRaiseInvaderHandler = (options: {
                 reservedTurns: options.reservedTurns,
                 env: options.env,
                 rng,
-                environment,
+                environment: { ...environment, turnTime: creationTurnBase },
                 rawName: `${city.name}대왕`,
                 nationId,
                 cityId: city.id,
@@ -374,7 +380,7 @@ export const createRaiseInvaderHandler = (options: {
                     reservedTurns: options.reservedTurns,
                     env: options.env,
                     rng,
-                    environment,
+                    environment: { ...environment, turnTime: creationTurnBase },
                     rawName: `${city.name}장수${index}`,
                     nationId,
                     cityId: city.id,