feat(enakgame): budget controller recommendations and analytics

EnakGame phase 9 of docs/tasks-enakgame.md (EG-901 to EG-903).

Budget Controller (EG-901, EG-902)
- GET /marketing/enakgame/budgets/:id/recommendation, GLOBAL budgets only: the
  multiplier (budget − realized) / (forecast − realized), within one step of 1,
  rounded down to two decimals, either way. Shows each game's new rules.
- POST .../recommendation/accept with the multiplier the admin saw: recomputed in the
  transaction, then one new ACTIVE version per game, the old one RETIRED, audited
  with source budget_controller and RECOMMENDATION_ACCEPTED on the budget.
- Migration 000112: base_config_id, multiplier and budget_id on
  game_reward_configs. Rules are always scaled from the admin's last version, so
  rounding does not compound and min/max are against what the admin set.
- Guardrails in game_budgets.thresholds: max_step_percent 10, min/max multiplier
  50-150%, cooldown_days 7 per organization. Provisional pending RFC §19.2 #4.
- RewardCalculator.Scale for the four reward types: amounts only, rounded down.

Analytics (EG-903)
- GET /marketing/enakgame/analytics/games and /analytics/economy over a range of
  Asia/Jakarta days (at most 366), from game_sessions and the wallet ledger.
- Migrations 000113 (game_sessions by organization and start) and 000114
  (wallet_transactions by organization and time, CONCURRENTLY).

The Postgres tests for accepting and analytics were not run: no test database here.
Migrations 000112-000114 have not been run anywhere.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

internal/service/enakgame_service.go

@@ -41,6 +41,13 @@ type EnakGameAdminService interface {
 	UpdateBudget(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID, body []byte) *contract.Response
 	DeleteBudget(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID) *contract.Response
 	BudgetMetrics(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID) *contract.Response
+	BudgetRecommendation(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID) *contract.Response
+	// AcceptBudgetRecommendation applies the recommendation whose multiplier the body
+	// sends back.
+	AcceptBudgetRecommendation(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID, body []byte) *contract.Response
+
+	GameAnalytics(ctx context.Context, apctx *appcontext.ContextInfo, q models.EnakGameAnalyticsQuery) *contract.Response
+	EconomyAnalytics(ctx context.Context, apctx *appcontext.ContextInfo, q models.EnakGameAnalyticsQuery) *contract.Response
 
 	CreateEvent(ctx context.Context, apctx *appcontext.ContextInfo, body []byte) *contract.Response
 	ListEvents(ctx context.Context, apctx *appcontext.ContextInfo, q models.GameEventListQuery) *contract.Response
@@ -74,16 +81,21 @@ type EnakGameCustomerService interface {
 }
 
 type EnakGameAdminServiceImpl struct {
-	games    *processor.EnakGameAdminProcessor
-	budgets  *processor.GameBudgetProcessor
-	metrics  *processor.GameBudgetMetricsProcessor
-	events   *processor.GameEventProcessor
-	vouchers *processor.VoucherAdminProcessor
+	games      *processor.EnakGameAdminProcessor
+	budgets    *processor.GameBudgetProcessor
+	metrics    *processor.GameBudgetMetricsProcessor
+	controller *processor.GameBudgetControllerProcessor
+	events     *processor.GameEventProcessor
+	vouchers   *processor.VoucherAdminProcessor
+	analytics  *processor.EnakGameAnalyticsProcessor
 }
 
 func NewEnakGameAdminService(games *processor.EnakGameAdminProcessor, budgets *processor.GameBudgetProcessor, metrics *processor.GameBudgetMetricsProcessor,
-	events *processor.GameEventProcessor, vouchers *processor.VoucherAdminProcessor) *EnakGameAdminServiceImpl {
-	return &EnakGameAdminServiceImpl{games: games, budgets: budgets, metrics: metrics, events: events, vouchers: vouchers}
+	controller *processor.GameBudgetControllerProcessor, events *processor.GameEventProcessor, vouchers *processor.VoucherAdminProcessor,
+	analytics *processor.EnakGameAnalyticsProcessor) *EnakGameAdminServiceImpl {
+	return &EnakGameAdminServiceImpl{
+		games: games, budgets: budgets, metrics: metrics, controller: controller, events: events, vouchers: vouchers, analytics: analytics,
+	}
 }
 
 type EnakGameCustomerServiceImpl struct {
@@ -213,6 +225,30 @@ func (s *EnakGameAdminServiceImpl) BudgetMetrics(ctx context.Context, apctx *app
 	return respond(ctx, metrics, err)
 }
 
+func (s *EnakGameAdminServiceImpl) BudgetRecommendation(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID) *contract.Response {
+	rec, err := s.controller.Recommendation(ctx, apctx.OrganizationID, id)
+	return respond(ctx, rec, err)
+}
+
+func (s *EnakGameAdminServiceImpl) AcceptBudgetRecommendation(ctx context.Context, apctx *appcontext.ContextInfo, id uuid.UUID, body []byte) *contract.Response {
+	var in models.GameBudgetRecommendationAcceptInput
+	if resp := decodeStrict(body, &in); resp != nil {
+		return resp
+	}
+	accepted, err := s.controller.Accept(ctx, apctx.OrganizationID, apctx.UserID, id, in)
+	return respond(ctx, accepted, err)
+}
+
+func (s *EnakGameAdminServiceImpl) GameAnalytics(ctx context.Context, apctx *appcontext.ContextInfo, q models.EnakGameAnalyticsQuery) *contract.Response {
+	stats, err := s.analytics.Games(ctx, apctx.OrganizationID, q)
+	return respond(ctx, stats, err)
+}
+
+func (s *EnakGameAdminServiceImpl) EconomyAnalytics(ctx context.Context, apctx *appcontext.ContextInfo, q models.EnakGameAnalyticsQuery) *contract.Response {
+	stats, err := s.analytics.Economy(ctx, apctx.OrganizationID, q)
+	return respond(ctx, stats, err)
+}
+
 func (s *EnakGameAdminServiceImpl) CreateEvent(ctx context.Context, apctx *appcontext.ContextInfo, body []byte) *contract.Response {
 	var in models.GameEventInput
 	if resp := decodeStrict(body, &in); resp != nil {