You can build a JSON package in Netlify by using the Netlify serverless functions which can return JSON data. First you need to create a directory in your project root to store your serverless functions. You can use JavaScript, Go, or Python to write serverless functions. To create a function that returns JSON data, you can use the following example.

javascript
 
 
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exports.handler = async (event, context) => {
  const body = {
    hello: 'world'
  }
  return {
    statusCode: 200,
    body: JSON.stringify(body) 
  }
}

Once the function is written, you just need to run netlify-lambda deploy to deploy the functions and make them available to your Netlify site. Documentation for more information can be found here.

To deploy your project from a private repository on GitHub to Netlify, follow these steps:

1. Log in to Netlify and create a new site.
2. From the "Sites" tab, click "New site from Git".
3. Choose the "GitHub" option and authorize Netlify to access your GitHub account if you haven't already.
4. Select your repository from the list of available repositories.
5. Choose the branch you'd like to deploy.
6. Scroll down to the "Build settings" section and configure the build command to run webpack to build your project. Example of build command: javascript webpack --config webpack.config.js
7. In the same "Build settings" section, configure the publish directory to the folder where your built files are located. Example of publish directory: javascript public/
8. Scroll back up and click the "Deploy site" button to start your deployment.

Here is an article from the Netlify documentation that might help: Link to Netlify Docs