TypeScript Utility Types Library

Create a comprehensive TypeScript utility types library for:

Domain: {{DOMAIN}} (e.g., API responses, form handling, state management)
Strictness Level: {{STRICTNESS}} (strict/moderate/loose)

Generate utility types including:

1. **Object Manipulation:**
   - DeepPartial<T>
   - DeepRequired<T>
   - DeepReadonly<T>
   - Mutable<T>
   - PickByValue<T, V>
   - OmitByValue<T, V>
   - RequiredKeys<T>
   - OptionalKeys<T>

2. **Union/Intersection Helpers:**
   - UnionToIntersection<U>
   - ExtractUnion<T, U>
   - ExcludeUnion<T, U>
   - Discriminate<T, K, V>

3. **Function Types:**
   - AsyncReturnType<T>
   - PromiseType<T>
   - Parameters<T> extensions
   - Curried<T>
   - Debounced<T>

4. **Array/Tuple Types:**
   - Head<T>
   - Tail<T>
   - Last<T>
   - Flatten<T>
   - TupleToUnion<T>
   - ArrayElement<T>

5. **String Manipulation:**
   - CamelCase<S>
   - SnakeCase<S>
   - KebabCase<S>
   - Capitalize<S>
   - Split<S, D>

6. **API/Data Types:**
   - ApiResponse<T>
   - PaginatedResponse<T>
   - ErrorResponse
   - Nullable<T>
   - NonNullableDeep<T>

Include JSDoc comments with usage examples for each type.