Add timing logs to gameController to diagnose remaining load time (#6022)

Breaking down the ~280ms gap between PersistedHistory and "Finished loading":
- loadTextStore: Loading ClientTextStore from disk (5MB+ completeText.txt)
- pregenAndRecovery: Populating pregenerated texts and recovering missing names
- buildController: Creating HeroGenerator, EngineImpl, and GameController

Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>

src/main/scala/net/eagle0/eagle/service/GamesManager.scala

@@ -208,18 +208,21 @@ object GamesManager {
       userToFid: Map[UserId, FactionId],
       pregeneratedHeroes: Vector[HeroWithName]
   ): GameController = {
-    val loadedTextStore = ClientTextStoreImpl
+    val textStoreStart    = System.currentTimeMillis()
+    val loadedTextStore   = ClientTextStoreImpl
       .loaded(
         pregenerated = pregeneratedTexts,
         persister = gamePersister
       )
       .get
+    val textStoreDuration = System.currentTimeMillis() - textStoreStart
 
     // Check all heroes' nameTextIds and recover any missing name requests
     val allHeroes  = (history.last.resultingState.killedHeroes ++
       history.last.resultingState.heroes).values
     val factionIds = history.last.resultingState.factions.keys.toVector
 
+    val pregeneratedStart     = System.currentTimeMillis()
     // Populate pregenerated texts for all heroes in this game.
     // This ensures games are self-contained and old games get the texts they need.
     val withPregeneratedTexts = withPopulatedPregeneratedTexts(
@@ -228,12 +231,13 @@ object GamesManager {
       factionIds = factionIds
     )
 
-    val recoveryResult = MissingHeroNameRecovery.recoverMissingHeroNames(
+    val recoveryResult       = MissingHeroNameRecovery.recoverMissingHeroNames(
       clientTextStore = withPregeneratedTexts,
       heroes = allHeroes,
       gameId = gameId,
       factionIds = factionIds
     )
+    val pregeneratedDuration = System.currentTimeMillis() - pregeneratedStart
 
     val clientTextStore = recoveryResult.clientTextStore
     val existingNames   = recoveryResult.resolvedNames
@@ -241,7 +245,8 @@ object GamesManager {
     val pregenHeroes =
       pregeneratedHeroes.filterNot(heroWithName => existingNames.contains(heroWithName.name))
 
-    HeroGenerator(
+    val controllerStart    = System.currentTimeMillis()
+    val controller         = HeroGenerator(
       pregeneratedHeroes = pregenHeroes,
       excludingNames = existingNames,
       // FIXME: use a seed saved for this purpose
@@ -268,8 +273,18 @@ object GamesManager {
             .performAiCommands(gcwpr)
             .gameController
       }
-    }
-  }.newValue
+    }.newValue
+    val controllerDuration = System.currentTimeMillis() - controllerStart
+
+    println(
+      s"[GameLoad] gameId=0x${gameId.toHexString}: " +
+        s"loadTextStore=${textStoreDuration}ms, " +
+        s"pregenAndRecovery=${pregeneratedDuration}ms, " +
+        s"buildController=${controllerDuration}ms"
+    )
+
+    controller
+  }
 }
 
 class GamesManager(