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/lib/api/lnbits.ts

@@ -61,16 +61,33 @@ interface User {
   }
 }
 
+import { BaseService } from '@/core/base/BaseService'
 import { getApiUrl, getAuthToken, setAuthToken, removeAuthToken } from '@/lib/config/lnbits'
 
-class LnbitsAPI {
+export class LnbitsAPI extends BaseService {
+  // Service metadata
+  protected readonly metadata = {
+    name: 'LnbitsAPI',
+    version: '1.0.0',
+    dependencies: [] // No dependencies - this is a core infrastructure service
+  }
+
   private accessToken: string | null = null
 
   constructor() {
+    super()
     // Try to load token from localStorage
     this.accessToken = getAuthToken()
   }
 
+  /**
+   * Service-specific initialization (called by BaseService)
+   */
+  protected async onInitialize(): Promise<void> {
+    this.debug('LnbitsAPI initialized')
+    // Service is ready to use
+  }
+
   private async request<T>(
     endpoint: string,
     options: RequestInit = {}
@@ -183,5 +200,5 @@ class LnbitsAPI {
   }
 }
 
-export const lnbitsAPI = new LnbitsAPI()
+// Service is now registered in the DI container
 export type { LoginCredentials, RegisterData, AuthResponse, User }