Zod Schema Validation Library

Create Zod validation schemas for:

Domain: {{DOMAIN}}
Use Cases: {{USE_CASES}}
Integration: {{INTEGRATION}} (React Hook Form/tRPC/API)

Generate complete Zod schema library:

1. **Primitive Schemas:**
   - String validations
   - Number validations
   - Boolean schemas
   - Date schemas
   - Enum schemas
   - Literal schemas

2. **Object Schemas:**
   - Object definitions
   - Nested objects
   - Optional fields
   - Default values
   - Strict/passthrough

3. **Array Schemas:**
   - Array validation
   - Min/max length
   - Unique items
   - Tuple schemas

4. **Composition:**
   - Union types
   - Discriminated unions
   - Intersection types
   - Merge schemas

5. **Transformations:**
   - Transform functions
   - Preprocess
   - Coercion
   - Default values

6. **Refinements:**
   - Custom validations
   - Async refinements
   - Superrefine
   - Cross-field validation

7. **Error Handling:**
   - Custom error messages
   - Error formatting
   - i18n error messages
   - Path handling

8. **Type Inference:**
   - z.infer usage
   - Input vs output types
   - Branded types

9. **Integration Patterns:**
   - React Hook Form
   - tRPC procedures
   - API request/response
   - Environment variables

Include reusable schema patterns and utilities.