Trying to add Recaptcha to Email share button

Hi

I am trying to add a Recaptcha to the email share button form. I have added the Recaptcha constants to wp-config.php

I followed this https://jetpack.com/blog/recaptcha-email-sharing-button/

When I click on the email icon, the form appears but no Recaptcha..

check screenshot:

https://ibb.co/z7NqPyV

Basically, it is a form from the Sharedaddy module of Jetpack.

https://github.com/dlech/jetpack-sharing/blob/lechnology/sharedaddy/sharing-sources.php

		<form action="<?php echo esc_url( $_SERVER['REQUEST_URI'] ); ?>" method="post">
			<label for="target_email"><?php _e( 'Send to Email Address', 'jetpack-sharing' ) // E-1 ?></label>
			<input type="email" name="target_email" id="target_email" value="" />

			<?php if ( is_user_logged_in() ) : ?>
				<input type="hidden" name="source_name" value="<?php echo esc_attr( $current_user->display_name ); ?>" />
				<input type="hidden" name="source_email" value="<?php echo esc_attr( $current_user->user_email ); ?>" />
			<?php else : ?>

				<label for="source_name"><?php _e( 'Your Name', 'jetpack-sharing' ) // E-1 ?></label>
				<input type="text" name="source_name" id="source_name" value="" />

				<label for="source_email"><?php _e( 'Your Email Address', 'jetpack-sharing' ) // E-1 ?></label>
				<input type="email" name="source_email" id="source_email" value="" />

			<?php endif; ?>

			<?php do_action( 'sharing_email_dialog', 'jetpack-sharing' ); // E-1 ?>

			<img style="float: right; display: none" class="loading" src="<?php echo apply_filters( 'jetpack_static_url', plugin_dir_url( __FILE__ ) . 'images/loading.gif' ); ?>" alt="loading" width="16" height="16" />
			<input type="submit" value="<?php _e( 'Send Email', 'jetpack-sharing' ); // E-1 ?>" class="sharing_send" />
			<a href="#cancel" class="sharing_cancel"><?php _e( 'Cancel', 'jetpack-sharing' ); // E-1?></a>

			<div class="errors errors-1" style="display: none;">
				<?php _e( 'Post was not sent - check your email addresses!', 'jetpack-sharing' ); // E-1 ?>
			</div>

			<div class="errors errors-2" style="display: none;">
				<?php _e( 'Email check failed, please try again', 'jetpack-sharing' ); // E-1 ?>
			</div>

			<div class="errors errors-3" style="display: none;">
				<?php _e( 'Sorry, your blog cannot share posts by email.', 'jetpack-sharing' ); // E-1 ?>
			</div>
		</form>

Can you please help me with how I can add a recaptcha?