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

docs/architecture/PROJECT_STRUCTURE.md

@@ -110,10 +110,6 @@ rxminder/
 │   │   ├── 🔧 admin-login-debug.js # Admin debugging
 │   │   ├── 🔧 auth-db-debug.js     # Auth debugging
 │   │   └── 🔧 debug-email-validation.js # Email debugging
-│   └── 📁 e2e/                     # End-to-end tests with Playwright
-│       ├── 📝 README.md            # E2E testing documentation
-│       ├── 🧪 fixtures.ts          # Custom test fixtures
-│       ├── 🧪 helpers.ts           # Test utilities and data
 │       ├── 🧪 auth.spec.ts         # Authentication flow tests
 │       ├── 🧪 medication.spec.ts   # Medication management tests
 │       ├── 🧪 admin.spec.ts        # Admin interface tests
@@ -149,7 +145,6 @@ rxminder/
     ├── 🎨 .prettierrc              # Code formatting rules
     ├── ⚡ eslint.config.cjs        # Linting configuration
     ├── 🧪 jest.config.json         # Test configuration
-    ├── 🎭 playwright.config.ts     # E2E test configuration
     ├── 📝 .markdownlint.json       # Markdown linting
     ├── 🔒 .secretlintrc.json       # Secret detection
     ├── ✏️ .editorconfig            # Editor consistency
@@ -224,8 +219,7 @@ Comprehensive testing at multiple levels:
 ```
 tests/
 ├── integration/   # Service integration tests
-├── manual/        # Debug scripts and manual testing
-└── e2e/          # Full application testing
+└── manual/        # Debug scripts and manual testing
 
 # Unit tests alongside code
 services/auth/__tests__/   # Co-located with services