Contact Form: no successful message in WooCommerce short product description

#### Steps to reproduce the issue

1. Create a product
2. In "Product short description", add a Jetpack Contact Form.
3. View this product and submit the form.

#### What I expected

See the successful message.

#### What happened instead

No message, just a new form.

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I am not sure if this is a bug or this should be an enhancement. It seems currently Jetpack displays the successful message with the `the_content` filter (main product description) only.

Ticket: 1295191-zen

Start by tracing how the Jetpack Contact Form renders and handles successful submissions when placed in a WooCommerce product short description, comparing that path with the main product description and the mentioned the_content filter. Reproduce the issue using the listed product and form steps; done means the successful message appears after submission instead of a new form.

Written by the indexing model from the issue text.