Sure, here's a-by-step guide to installing and using React Query with Next.js 13.5 to make REST API requests, including fetch, delete, and edit operations. I'll also cover how to optimize the usage and provide a simple folder structure for organization.

Step 1: Install Next.js First, make sure you have Node.js installed. Then, create a new Next.js project using the following commands:

npx [email protected] my-nextjs-app
cd my-nextjs-app

Step 2: Install React Query Next, install React Query and Axios for making REST API requests by running the following command:

npm install react-query axios

Step 3: Create a REST API Service Create a new file called api.js in a services folder. This file will contain functions for making REST API requests using React Query and Axios.

// services/api.js
import axios from 'axios';
import { useQuery, useMutation, queryCache } from 'react-query';

export function useGetData() {
  return useQuery('data', async () => {
    const { data } = await axios.get('/api/data');
    return data;
  });
}

export function useDeleteData() {
  return useMutation(id => axios.delete(`/api/data/${id}`),    onSuccess: () => {
      queryCache.invalidateQueries('data');
    },
  });
}

export function useEditData() {
  return useMutation(updatedData => axios.put(`/api/data/${updatedData.id}`, updatedData), {
    onSuccess: () => {
      queryCache.invalidateQueries('data');
    },
 }

Step 4: Using React Query in Components In your React components, you can use the custom hooks created in the api.js file to fetch, delete, and edit data from the REST API.

// pages/index.js
import { useGetData, useDeleteData, useEditData } from '../services/api';

function Home() {
  const { isLoading, isError, data, error } = useGetData();
  const deleteData = useDeleteData();
  const editData = useEditData();

  if (isLoading) {
    return <p>Loading...</p>;
  }

  if (isError) {
    return <p>Error: {error.message}</p>;
  }

  return (
    <div>
      {data.map(item => (
        <div key={item.id}>
          <p>{item.name}</p>
          <button onClick={() => deleteData.mutate(item.id)}>Delete</button>
          <button onClick={() => editData.mutate({ id: item.id, name: 'Updated Name' })}>Edit</button>
        </div>
      ))}
    </div>
  );
}

export default Home;

Step 5: Folder Structure Your project structure might look something like this:

- pages/
  - index.js
- services/
  - api.js
- next.config.js
- package.json
- ...

This is a basic setup for using React Query with Next.js 13.5 for fetching, deleting, and editing data from a REST API using Axios. You can expand upon this foundation to handle more complex scenarios and optimize your code further based on your specific requirements.