How to Use WP_REDIRECT and Continue Parent Execution

I am overriding another plugins’ custom registration form with my own custom template (adding additional fields).

On submission, the original plugin triggers:

wc_add_notice( __( 'Your registration has been submitted successfully.', 'woocommerce-wholesale-pro' ) ); 

This renders in my own custom form submission, however I would like to:

  1. Re-direct the user back to the home page
  2. and then trigger the wc_add_notice() hook so that the success notice is displayed

I have completed 1) by adding the following:

wp_redirect(home_url()); exit(); 

However, now I am unable to see the original plugins wc_add_notice() hook be triggered/rendered on submission.

I am unable to grasp WordPress’s flow to achieve this task.

Is this possible? Any help/guidance would be greatly appreciated!

Please let me know if I can clarify anything from my end.