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

CONTRIBUTING.md

@@ -46,7 +46,6 @@ git remote add upstream https://github.com/original-owner/meds.git
 bun install
 cp .env.example .env
 # Edit .env with your development values
-docker compose -f docker/docker-compose.yaml up -d
 ```
 
 #### 3. Create Feature Branch
@@ -313,22 +312,13 @@ bun test --coverage
 # Run integration tests
 bun run test:integration
 
-# Run E2E tests with Playwright
-bun run test:e2e
-
-# Run E2E tests in UI mode
-bun run test:e2e:ui
-
-# Debug E2E tests
-bun run test:e2e:debug
-
-# Run all tests (unit + integration + e2e)
+# Run all tests (unit + integration)
 bun run test:all
 ```
 
 ### E2E Testing
 
-E2E tests use Playwright and are located in `tests/e2e/`. When adding new features:
+Integration tests are located in `tests/integration/`. When adding new features:
 
 ```typescript
 // Use custom fixtures for authenticated testing
@@ -442,7 +432,6 @@ We follow [Semantic Versioning](https://semver.org/):
 ### Required Tools
 
 - **Node.js 18+** or **Bun 1.0+**
-- **Docker and Docker Compose**
 - **Git**
 - **Code Editor** (VS Code recommended)
 
@@ -473,10 +462,6 @@ bun test                 # Run tests
 bun test:coverage        # Run tests with coverage
 bun test:watch           # Run tests in watch mode
 
-# Docker
-docker compose -f docker/docker-compose.yaml up -d     # Start services
-docker compose -f docker/docker-compose.yaml logs      # View logs
-docker compose -f docker/docker-compose.yaml down      # Stop services
 ```
 
 ## 🆘 Getting Help