Copy header.php to your child theme so you’re not editing the parent theme’s file. And on line 49, you will see this line of code:
if ( ! empty( $header_image ) ) : ?>
This says if header image is not empty show the header image. So you can add to that condition to check for any post type you want. Like this example:
if ( ! empty( $header_image ) && get_post_type() !== 'my-posttype' ) : ?>