fix: resolve all Biome linting errors and Prettier formatting issues

- Reduce cognitive complexity in lib/api/handler.ts (23 → 15)
- Reduce cognitive complexity in lib/config/provider.ts (38 → 15)
- Fix TypeScript any type violations in multiple files
- Remove unused variable in lib/batchSchedulerOptimized.ts
- Add prettier-ignore comments to documentation with intentional syntax errors
- Resolve Prettier/Biome formatting conflicts with targeted ignores
- Create .prettierignore for build artifacts and dependencies

All linting checks now pass and build completes successfully (47/47 pages).

lib/performance/integration.ts

@@ -403,6 +403,7 @@ function mergeOptions(
 /**
  * Create a performance-enhanced service instance
  */
+// prettier-ignore
 export function createEnhancedService<T>(
   ServiceClass: new (...args: unknown[]) => T,
   options: PerformanceIntegrationOptions = {}