Create Comprehensive Zod Schema Validation for Forms and APIs

Build a complete Zod validation schema system for a [APPLICATION_TYPE] application that validates [DATA_ENTITY] data across both client-side forms and server-side API endpoints. **Schema Requirements:** 1. **Base Entity Schema**: Define a `[ENTITY_NAME]Schema` with these fields: - [FIELD_1]: [ZOD_TYPE] — [CONSTRAINTS, e.g., min length 2, max 50, regex pattern] - [FIELD_2]: [ZOD_TYPE] — [CONSTRAINTS, e.g., valid email, ends with specific domain] - [FIELD_3]: [ZOD_TYPE] — [CONSTRAINTS, e.g., enum of allowed values] - [FIELD_4]: [ZOD_TYPE] — [CONSTRAINTS, e.g., positive integer, max 999] - [FIELD_5]: [ZOD_TYPE] — optional, [CONSTRAINTS] Include custom error messages for every validation rule in [LANGUAGE]. 2. **Derived Schemas**: Generate these from the base schema using Zod methods: - `Create[ENTITY]Schema`: Omits auto-generated fields (id, createdAt) - `Update[ENTITY]Schema`: Makes all fields partial, requires at least one field - `[ENTITY]QuerySchema`: For GET list endpoints with pagination (`page`, `limit`), sorting (`sortBy`, `order`), and optional filter fields - `[ENTITY]PatchSchema`: Allows only specific fields [PATCHABLE_FIELDS] to be updated 3. **Advanced Validations**: - Cross-field validation using `.refine()` or `.superRefine()`: [CROSS_FIELD_RULE, e.g., endDate must be after startDate] - Conditional validation: If [FIELD_A] equals [VALUE], then [FIELD_B] becomes required - Custom transform: Normalize [FIELD] (e.g., trim whitespace, lowercase email) using `.transform()` - Async validation with `.refine()`: Check [UNIQUENESS_FIELD] against [DATA_SOURCE] 4. **Integration Code**: - Export inferred TypeScript types using `z.infer<typeof schema>` - Write a reusable `validateRequest(schema, data)` wrapper that returns `{ success, data, errors }` with formatted field-level errors - Show integration with [FRAMEWORK] (e.g., Next.js API route, Express middleware, React Hook Form) 5. **Test Cases**: Write 5 test cases covering: valid data, missing required fields, type coercion, cross-field failure, and edge cases for [EDGE_CASE]. Provide all code in TypeScript with clear file organization and imports.