feat: add infrastructure essentials

[aabrius]

Summary

• Adds health check endpoints (/health, /health/ready, /health/live)
• Implements @public() decorator for unauthenticated routes
• Integrates with NestJS Terminus for health indicators
• Adds 23 unit tests for health controller and public decorator

Test plan

• Run npm test -- --testPathPattern="health.controller|public.decorator" to verify all tests pass
• Verify health endpoints return correct status

🤖 Generated with Claude Code

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📥 Commits

Reviewing files that changed from the base of the PR and between 793cb77 and b44c96a.

⛔ Files ignored due to path filters (1)

• pnpm-lock.yaml is excluded by !**/pnpm-lock.yaml

📒 Files selected for processing (11)

• apps/backend/.env.example (1 hunks)
• apps/backend/package.json (2 hunks)
• apps/backend/src/app.module.ts (2 hunks)
• apps/backend/src/auth/decorators/index.ts (1 hunks)
• apps/backend/src/auth/decorators/public.decorator.spec.ts (1 hunks)
• apps/backend/src/auth/decorators/public.decorator.ts (1 hunks)
• apps/backend/src/auth/guards/jwt-auth.guard.ts (1 hunks)
• apps/backend/src/health/health.controller.spec.ts (1 hunks)
• apps/backend/src/health/health.controller.ts (1 hunks)
• apps/backend/src/health/health.module.ts (1 hunks)
• apps/backend/src/main.ts (2 hunks)

✨ Finishing touches

• 📝 Generate docstrings

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch feature/infrastructure-essentials

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