Connect to Cloud SQL from Google Functions using private IP

I have a Google Cloud SQL instance and plan to access it from a Google Function using NodeJS. The code is as described in the documentation

// mysql
const mysql = require('mysql');
const connectionName = process.env.INSTANCE_CONNECTION_NAME || 'project:region:sql-instance';
const dbUser = process.env.SQL_USER || 'root';
const dbPassword = process.env.SQL_PASSWORD || 'password';
const dbName = process.env.SQL_NAME || 'database';

const mysqlConfig = {
  connectionLimit: 1,
  user: dbUser,
  password: dbPassword,
  database: dbName,
};
//if (process.env.NODE_ENV === 'production') {
  mysqlConfig.socketPath = `/cloudsql/${connectionName}`;
//}

// Connection pools reuse connections between invocations,
// and handle dropped or expired connections automatically.
let mysqlPool;

function searchDB() {
  if (!mysqlPool) {
    mysqlPool = mysql.createPool(mysqlConfig);
    console.log(mysqlPool);
  }
  return new Promise( function( resolve, reject ) {
    mysqlPool.query('SELECT * FROM table', (err, results) => {
      if (err) {
        console.error('error in retrieving data:', err);
        resolve(''); // sending blank response
      } else {
        console.log('success in getting data', JSON.stringify(results));
        resolve(JSON.stringify(results));
      }
    });
  });
}

Once the database is set up with the public IP, I am able to access the database. However, when I set it to "Dedicated IP", I get an ECON refusederror.

The question is: what changes do I need to make to the Google Functions code to access it using the private IP? thanks