Complete LnbitsAPI migration to dependency injection pattern

- Convert LnbitsAPI from singleton to BaseService extension
- Add LNBITS_API service token to DI container
- Register LnbitsAPI service in base module with proper initialization order
- Update AuthService to depend on injected LnbitsAPI instead of singleton
- Fix BaseService to properly track LnbitsAPI dependency in getMissingDependencies
- Update events API functions to use dependency injection
- Resolve initialization timing issue preventing application startup

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

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

src/core/di-container.ts

@@ -140,6 +140,9 @@ export const SERVICE_TOKENS = {
   
   // Nostrmarket services
   NOSTRMARKET_SERVICE: Symbol('nostrmarketService'),
+  
+  // API services
+  LNBITS_API: Symbol('lnbitsAPI'),
 } as const
 
 // Type-safe injection helpers