Use the WooCommerce email template when registering for a site during checkout

Feature Description

In WordPress when using WooCommerce, there are 2 different welcome emails that can be used when registering for the first time on a store.

• A WooCommerce welcome email
• A standard welcome email

Which one is used depends on where a user registers, with the options listed below:

1. Standard WP new user registration via register.php. This contains a link to a users wp-login page.
2. During WooCommerce checkout
   1. Checkout > Create an account
   2. Checkout/my-account > Login > Sign in with Google / Register via email

When using Sign in with Google on the my-account WooCommerce endpoint, ensure that the WooCommerce email is sent, as opposed to the standard WordPress email. On the my-account page, if registering via email, the WooCommerce email is used.

Another option, should we be unable to change the email notification, is to provide a filter or option for no email to be sent, as the standard WordPress email contains the wp-login path, which may be customized.

This is a user request via the support forums.

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Acceptance criteria

Implementation Brief

Test Coverage

QA Brief

Changelog entry

Start by tracing the Sign in with Google registration flow on the WooCommerce my-account endpoint and compare it with registration via email and checkout account creation. Done means registrations through Google use the WooCommerce welcome email rather than the standard WordPress email, or provide the requested email-suppression option.