You can send new customer data (emails, name) to any other service via Integromat.
On the main menu of the Mango plugin, select the integrations tab and click to add a new integration.
Then select the "Integration Type" for Integromat (now Make).
Simply add your integration details as shown below.
The integration ID is a short identifier (self-created), so you can differentiate it from other Make integrations you might add later on.
You can get the Webhook URL directly from your Make dashboard.
When this integration is used, it makes a JSON-encoded POST request with a JSON Content-Type header to the specified Make URL.
Follow this guide from Integromat to receive a Webhook from a Web Service.