fix(arcade): add Number Guesser to game config helpers

Fixes server-side session creation for Number Guesser:
- Import DEFAULT_NUMBER_GUESSER_CONFIG
- Add case for 'number-guesser' in getDefaultGameConfig()
- Add validation for number-guesser config
- Include arcade-games validators in server TypeScript build

This resolves the "Unknown game: number-guesser" error when creating sessions.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

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

apps/web/src/lib/arcade/game-config-helpers.ts

@@ -14,6 +14,7 @@ import {
   DEFAULT_MATCHING_CONFIG,
   DEFAULT_MEMORY_QUIZ_CONFIG,
   DEFAULT_COMPLEMENT_RACE_CONFIG,
+  DEFAULT_NUMBER_GUESSER_CONFIG,
 } from './game-configs'
 
 /**
@@ -27,6 +28,8 @@ function getDefaultGameConfig(gameName: GameName): GameConfigByName[GameName] {
       return DEFAULT_MEMORY_QUIZ_CONFIG
     case 'complement-race':
       return DEFAULT_COMPLEMENT_RACE_CONFIG
+    case 'number-guesser':
+      return DEFAULT_NUMBER_GUESSER_CONFIG
     default:
       throw new Error(`Unknown game: ${gameName}`)
   }
@@ -194,6 +197,18 @@ export function validateGameConfig(gameName: GameName, config: any): boolean {
       // TODO: Add validation when complement-race settings are defined
       return typeof config === 'object' && config !== null
 
+    case 'number-guesser':
+      return (
+        typeof config === 'object' &&
+        config !== null &&
+        typeof config.minNumber === 'number' &&
+        typeof config.maxNumber === 'number' &&
+        typeof config.roundsToWin === 'number' &&
+        config.minNumber >= 1 &&
+        config.maxNumber > config.minNumber &&
+        config.roundsToWin >= 1
+      )
+
     default:
       return false
   }

apps/web/tsconfig.server.json

@@ -19,9 +19,12 @@
     "src/db/schema/**/*.ts",
     "src/db/migrate.ts",
     "src/lib/arcade/**/*.ts",
+    "src/arcade-games/**/Validator.ts",
+    "src/arcade-games/**/types.ts",
     "src/app/games/matching/context/types.ts",
     "src/app/games/matching/utils/cardGeneration.ts",
     "src/app/games/matching/utils/matchValidation.ts",
+    "src/app/arcade/memory-quiz/types.ts",
     "src/socket-server.ts"
   ],
   "exclude": ["node_modules", "dist", "**/*.test.ts", "**/*.test.tsx", "**/*.spec.ts"]