remove: broken Playwright E2E testing infrastructure

- Remove playwright.config.ts (references non-existent docker/docker-compose.yaml)
- Remove tests/e2e/ directory with broken test files
- Remove @playwright/test dependency from package.json
- Update documentation to remove E2E test references:
  - docs/architecture/PROJECT_STRUCTURE.md
  - docs/implementation/IMPLEMENTATION_SUMMARY.md
  - README.md
  - CONTRIBUTING.md
- E2E tests were non-functional due to missing Docker setup
- Focus on working unit and integration tests instead

README.md

@@ -122,7 +122,7 @@ make dev
 
 ### **Available Commands**
 
-```bash
+````bash
 # Development
 bun run dev          # Start development server
 bun run build        # Build for production
@@ -135,10 +135,10 @@ bun run lint:fix     # Fix linting issues
 bun run type-check   # TypeScript type checking
 
 # Testing
+```bash
 bun run test         # Run unit tests
 bun run test:watch   # Run tests in watch mode
-bun run test:e2e     # Run end-to-end tests
-```
+````
 
 ### **Makefile Commands**
 
@@ -256,7 +256,7 @@ bun run type-check   # TypeScript validation
 - **Unit Tests**: Jest-based tests for services and utilities
 - **Component Tests**: React component testing
 - **Integration Tests**: Service integration validation
-- **E2E Tests**: Playwright-based full user journey testing
+- **Integration Tests**: Service validation and API testing
 
 ### **Running Tests**
 
@@ -267,11 +267,8 @@ bun run test
 # Run with coverage
 bun run test:coverage
 
-# Run E2E tests
-bun run test:e2e
-
-# Run E2E tests in UI mode
-bun run test:e2e:ui
+# Run integration tests
+bun run test:services
 ```
 
 ## 📁 Project Structure